diff --git a/README.md b/README.md
index 67a82d4..d1345c6 100644
--- a/README.md
+++ b/README.md
@@ -44,6 +44,8 @@ Simply clone this repository and voilà! Then check [`notebooks`](https://github
     * The MinMax kernel
 * Non-linear kernels
   * The treelet kernel [10]
+  * Weisfeiler-Lehman kernel [11]
+    * Subtree
 
 ## Computation optimization methods
 
@@ -92,6 +94,8 @@ Linlin Jia, Benoit Gaüzère, and Paul Honeine. Graph Kernels Based on Linear Pa
 
 [10] Gaüzere, B., Brun, L., Villemin, D., 2012. Two new graphs kernels in chemoinformatics. Pattern Recognition Letters 33, 2038–2047.
 
+[11] Shervashidze, N., Schweitzer, P., Leeuwen, E.J.v., Mehlhorn, K., Borgwardt, K.M., 2011. Weisfeiler-lehman graph kernels. Journal of Machine Learning Research 12, 2539–2561.
+
 ## Authors
 
 * [Linlin Jia](https://github.com/jajupmochi), LITIS, INSA Rouen Normandie
diff --git a/datasets/MUTAG/MUTAG.mat b/datasets/MUTAG/MUTAG.mat
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diff --git a/datasets/MUTAG/MUTAG_A.txt b/datasets/MUTAG/MUTAG_A.txt
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diff --git a/datasets/MUTAG/MUTAG_edge_labels.txt b/datasets/MUTAG/MUTAG_edge_labels.txt
new file mode 100644
index 0000000..66a74dc
--- /dev/null
+++ b/datasets/MUTAG/MUTAG_edge_labels.txt
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diff --git a/datasets/MUTAG/MUTAG_graph_indicator.txt b/datasets/MUTAG/MUTAG_graph_indicator.txt
new file mode 100644
index 0000000..74f6d67
--- /dev/null
+++ b/datasets/MUTAG/MUTAG_graph_indicator.txt
@@ -0,0 +1,3371 @@
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diff --git a/datasets/MUTAG/MUTAG_graph_labels.txt b/datasets/MUTAG/MUTAG_graph_labels.txt
new file mode 100644
index 0000000..cd9a9c8
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diff --git a/datasets/MUTAG/MUTAG_node_labels.txt b/datasets/MUTAG/MUTAG_node_labels.txt
new file mode 100644
index 0000000..cc11ed9
--- /dev/null
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diff --git a/datasets/MUTAG/README b/datasets/MUTAG/README
deleted file mode 100644
index e2b0766..0000000
--- a/datasets/MUTAG/README
+++ /dev/null
@@ -1,68 +0,0 @@
-=== Introduction ===
-
-This folder contains 6 data sets of undirected labeled graphs in Matlab format for graph 
-classification: MUTAG, PTC, NCI1, NCI109, ENZYMES, and D&D.
-
-=== Usage ===
-
-For each data set X, the Matlab command
-  load X
-loads into the memory a struct array containing graphs, and a column vector lx containing 
-a class label for each graph.
-X(i).am is the adjacency matrix of the i'th graph, 
-X(i).al is the adjacency list of the i'th graph, 
-X(i).nl.values is a column vector of node labels for the i'th graph,
-X(i).el (not always available) contains edge labels for the i'th graph.
-
-Example: 
-typing "load MUTAG" in MATLAB
-loads a 188 element array of graph structures, called MUTAG, and a column of 188 numbers, 
-each of which indicates the class that the corresponding graph belongs to.
-
-=== Description ===
-
-MUTAG (Debnath et al., 1991) is a data set of 188 mutagenic aromatic and heteroaromatic
-nitro compounds labeled according to whether or not they have a mutagenic effect on the
-Gram-negative bacterium Salmonella typhimurium. 
-
-PTC (Toivonen et al., 2003) contains 344 chemical compounds tested for carcinogenicity
-in mice and rats. The classification task is to predict the carcinogenicity of compounds.
-
-NCI1 and NCI109 represent two balanced subsets of data sets of chemical compounds screened 
-for activity against non-small cell lung cancer and ovarian cancer cell lines respectively
-(Wale and Karypis (2006) and http://pubchem.ncbi.nlm.nih.gov). 
-
-ENZYMES is a data set of protein tertiary structures obtained from (Borgwardt et al., 
-2005) consisting of 600 enzymes from the BRENDA enzyme database (Schomburg et al., 2004). 
-In this case the task is to correctly assign each enzyme to one of the 6 EC top-level 
-classes. 
-
-D&D is a data set of 1178 protein structures (Dobson and Doig, 2003). Each protein is 
-represented by a graph, in which the nodes are amino acids and two nodes are connected 
-by an edge if they are less than 6 Angstroms apart. The prediction task is to classify 
-the protein structures into enzymes and non-enzymes.
-
-=== References ===
-
-K. M. Borgwardt, C. S. Ong, S. Schoenauer, S. V. N. Vishwanathan, A. J. Smola, and H. P. 
-Kriegel. Protein function prediction via graph kernels. Bioinformatics, 21(Suppl 1):i47–i56, 
-Jun 2005.
-
-A. K. Debnath, R. L. Lopez de Compadre, G. Debnath, A. J. Shusterman, and C. Hansch. 
-Structure-activity relationship of mutagenic aromatic and heteroaromatic nitro compounds. 
-Correlation with molecular orbital energies and hydrophobicity. J Med Chem, 34: 786–797, 
-1991.
-
-P. D. Dobson and A. J. Doig. Distinguishing enzyme structures from non-enzymes without 
-alignments. J Mol Biol, 330(4):771–783, Jul 2003.
-
-I. Schomburg, A. Chang, C. Ebeling, M. Gremse, C. Heldt, G. Huhn, and D. Schomburg. Brenda, 
-the enzyme database: updates and major new developments. Nucleic Acids Research, 32D:431–433, 
-2004.
-
-H. Toivonen, A. Srinivasan, R.D. King, S. Kramer, and C. Helma (2003). Statistical 
-evaluation of the predictive toxicology challenge 2000-2001. Bioinformatics, 19(10):1183–1193.
-
-N. Wale and G. Karypis. Comparison of descriptor spaces for chemical compound retrieval and 
-classification. In Proc. of ICDM, pages 678–689, Hong Kong, 2006.
-
diff --git a/datasets/MUTAG/README.txt b/datasets/MUTAG/README.txt
new file mode 100644
index 0000000..7c1cafa
--- /dev/null
+++ b/datasets/MUTAG/README.txt
@@ -0,0 +1,85 @@
+README for dataset MUTAG
+
+
+=== Usage ===
+
+This folder contains the following comma separated text files 
+(replace DS by the name of the dataset):
+
+n = total number of nodes
+m = total number of edges
+N = number of graphs
+
+(1) 	DS_A.txt (m lines) 
+	sparse (block diagonal) adjacency matrix for all graphs,
+	each line corresponds to (row, col) resp. (node_id, node_id)
+
+(2) 	DS_graph_indicator.txt (n lines)
+	column vector of graph identifiers for all nodes of all graphs,
+	the value in the i-th line is the graph_id of the node with node_id i
+
+(3) 	DS_graph_labels.txt (N lines) 
+	class labels for all graphs in the dataset,
+	the value in the i-th line is the class label of the graph with graph_id i
+
+(4) 	DS_node_labels.txt (n lines)
+	column vector of node labels,
+	the value in the i-th line corresponds to the node with node_id i
+
+There are OPTIONAL files if the respective information is available:
+
+(5) 	DS_edge_labels.txt (m lines; same size as DS_A_sparse.txt)
+	labels for the edges in DD_A_sparse.txt 
+
+(6) 	DS_edge_attributes.txt (m lines; same size as DS_A.txt)
+	attributes for the edges in DS_A.txt 
+
+(7) 	DS_node_attributes.txt (n lines) 
+	matrix of node attributes,
+	the comma seperated values in the i-th line is the attribute vector of the node with node_id i
+
+(8) 	DS_graph_attributes.txt (N lines) 
+	regression values for all graphs in the dataset,
+	the value in the i-th line is the attribute of the graph with graph_id i
+
+
+=== Description of the dataset === 
+
+The MUTAG dataset consists of 188 chemical compounds divided into two 
+classes according to their mutagenic effect on a bacterium. 
+
+The chemical data was obtained form http://cdb.ics.uci.edu and converted 
+to graphs, where vertices represent atoms and edges represent chemical 
+bonds. Explicit hydrogen atoms have been removed and vertices are labeled
+by atom type and edges by bond type (single, double, triple or aromatic).
+Chemical data was processed using the Chemistry Development Kit (v1.4).
+
+Node labels:
+
+  0  C
+  1  N
+  2  O
+  3  F
+  4  I
+  5  Cl
+  6  Br
+
+Edge labels:
+
+  0  aromatic
+  1  single
+  2  double
+  3  triple
+
+
+=== Previous Use of the Dataset ===
+
+Kriege, N., Mutzel, P.: Subgraph matching kernels for attributed graphs. In: Proceedings
+of the 29th International Conference on Machine Learning (ICML-2012) (2012).
+
+
+=== References ===
+
+Debnath, A.K., Lopez de Compadre, R.L., Debnath, G., Shusterman, A.J., and Hansch, C.
+Structure-activity relationship of mutagenic aromatic and heteroaromatic nitro compounds.
+Correlation with molecular orbital energies and hydrophobicity. J. Med. Chem. 34(2):786-797 (1991).
diff --git a/notebooks/run_commonwalkkernel.ipynb b/notebooks/run_commonwalkkernel.ipynb
index ea416cf..470ae1c 100644
--- a/notebooks/run_commonwalkkernel.ipynb
+++ b/notebooks/run_commonwalkkernel.ipynb
@@ -73,20 +73,18 @@
     "    {'name': 'Acyclic', 'dataset': '../datasets/acyclic/dataset_bps.ds',\n",
     "        'task': 'regression'},  # node symb\n",
     "    {'name': 'Alkane', 'dataset': '../datasets/Alkane/dataset.ds', 'task': 'regression',\n",
-    "             'dataset_y': '../datasets/Alkane/dataset_boiling_point_names.txt', },  \n",
+    "        'dataset_y': '../datasets/Alkane/dataset_boiling_point_names.txt'},  \n",
     "    # contains single node graph, node symb\n",
-    "    {'name': 'MAO', 'dataset': '../datasets/MAO/dataset.ds', },  # node/edge symb\n",
-    "    {'name': 'PAH', 'dataset': '../datasets/PAH/dataset.ds', },  # unlabeled\n",
-    "    {'name': 'MUTAG', 'dataset': '../datasets/MUTAG/MUTAG.mat',\n",
-    "             'extra_params': {'am_sp_al_nl_el': [0, 0, 3, 1, 2]}},  # node/edge symb\n",
+    "    {'name': 'MAO', 'dataset': '../datasets/MAO/dataset.ds'}, # node/edge symb\n",
+    "    {'name': 'PAH', 'dataset': '../datasets/PAH/dataset.ds'}, # unlabeled\n",
+    "    {'name': 'MUTAG', 'dataset': '../datasets/MUTAG/MUTAG_A.txt'}, # node/edge symb\n",
     "    {'name': 'Letter-med', 'dataset': '../datasets/Letter-med/Letter-med_A.txt'},\n",
     "    # node nsymb\n",
     "    {'name': 'ENZYMES', 'dataset': '../datasets/ENZYMES_txt/ENZYMES_A_sparse.txt'},\n",
     "    # node symb/nsymb\n",
     "#    {'name': 'Mutagenicity', 'dataset': '../datasets/Mutagenicity/Mutagenicity_A.txt'},\n",
     "#    # node/edge symb\n",
-    "#    {'name': 'D&D', 'dataset': '../datasets/D&D/DD.mat',\n",
-    "#     'extra_params': {'am_sp_al_nl_el': [0, 1, 2, 1, -1]}},  # node symb\n",
+    "#    {'name': 'D&D', 'dataset': '../datasets/DD/DD_A.txt'}, # node symb\n",
     "\n",
     "    #     {'name': 'COIL-DEL', 'dataset': '../datasets/COIL-DEL/COIL-DEL_A.txt'}, # edge symb, node nsymb\n",
     "    # # #     {'name': 'BZR', 'dataset': '../datasets/BZR_txt/BZR_A_sparse.txt'}, # node symb/nsymb\n",
diff --git a/notebooks/run_commonwalkkernel.py b/notebooks/run_commonwalkkernel.py
index a3245de..4e7fd46 100644
--- a/notebooks/run_commonwalkkernel.py
+++ b/notebooks/run_commonwalkkernel.py
@@ -15,20 +15,18 @@ dslist = [
     {'name': 'Acyclic', 'dataset': '../datasets/acyclic/dataset_bps.ds',
         'task': 'regression'},  # node symb
     {'name': 'Alkane', 'dataset': '../datasets/Alkane/dataset.ds', 'task': 'regression',
-             'dataset_y': '../datasets/Alkane/dataset_boiling_point_names.txt', },  
+        'dataset_y': '../datasets/Alkane/dataset_boiling_point_names.txt'},  
     # contains single node graph, node symb
-    {'name': 'MAO', 'dataset': '../datasets/MAO/dataset.ds', },  # node/edge symb
-    {'name': 'PAH', 'dataset': '../datasets/PAH/dataset.ds', },  # unlabeled
-    {'name': 'MUTAG', 'dataset': '../datasets/MUTAG/MUTAG.mat',
-             'extra_params': {'am_sp_al_nl_el': [0, 0, 3, 1, 2]}},  # node/edge symb
+    {'name': 'MAO', 'dataset': '../datasets/MAO/dataset.ds'}, # node/edge symb
+    {'name': 'PAH', 'dataset': '../datasets/PAH/dataset.ds'}, # unlabeled
+    {'name': 'MUTAG', 'dataset': '../datasets/MUTAG/MUTAG_A.txt'}, # node/edge symb
     {'name': 'Letter-med', 'dataset': '../datasets/Letter-med/Letter-med_A.txt'},
     # node nsymb
     {'name': 'ENZYMES', 'dataset': '../datasets/ENZYMES_txt/ENZYMES_A_sparse.txt'},
     # node symb/nsymb
 #    {'name': 'Mutagenicity', 'dataset': '../datasets/Mutagenicity/Mutagenicity_A.txt'},
 #    # node/edge symb
-#    {'name': 'D&D', 'dataset': '../datasets/D&D/DD.mat',
-#     'extra_params': {'am_sp_al_nl_el': [0, 1, 2, 1, -1]}},  # node symb
+#    {'name': 'D&D', 'dataset': '../datasets/DD/DD_A.txt'}, # node symb
 
     #     {'name': 'COIL-DEL', 'dataset': '../datasets/COIL-DEL/COIL-DEL_A.txt'}, # edge symb, node nsymb
     # # #     {'name': 'BZR', 'dataset': '../datasets/BZR_txt/BZR_A_sparse.txt'}, # node symb/nsymb
@@ -82,4 +80,4 @@ for ds in dslist:
         n_jobs=multiprocessing.cpu_count(),
         read_gm_from_file=False,
         verbose=True)
-    print()
\ No newline at end of file
+    print()
diff --git a/notebooks/run_marginalizedkernel.ipynb b/notebooks/run_marginalizedkernel.ipynb
index 1a9748d..724f18b 100644
--- a/notebooks/run_marginalizedkernel.ipynb
+++ b/notebooks/run_marginalizedkernel.ipynb
@@ -104,20 +104,18 @@
     "    {'name': 'Acyclic', 'dataset': '../datasets/acyclic/dataset_bps.ds',\n",
     "        'task': 'regression'},  # node symb\n",
     "    {'name': 'Alkane', 'dataset': '../datasets/Alkane/dataset.ds', 'task': 'regression',\n",
-    "             'dataset_y': '../datasets/Alkane/dataset_boiling_point_names.txt', },  \n",
+    "        'dataset_y': '../datasets/Alkane/dataset_boiling_point_names.txt'},  \n",
     "    # contains single node graph, node symb\n",
-    "    {'name': 'MAO', 'dataset': '../datasets/MAO/dataset.ds', },  # node/edge symb\n",
-    "    {'name': 'PAH', 'dataset': '../datasets/PAH/dataset.ds', },  # unlabeled\n",
-    "    {'name': 'MUTAG', 'dataset': '../datasets/MUTAG/MUTAG.mat',\n",
-    "             'extra_params': {'am_sp_al_nl_el': [0, 0, 3, 1, 2]}},  # node/edge symb\n",
+    "    {'name': 'MAO', 'dataset': '../datasets/MAO/dataset.ds'}, # node/edge symb\n",
+    "    {'name': 'PAH', 'dataset': '../datasets/PAH/dataset.ds'}, # unlabeled\n",
+    "    {'name': 'MUTAG', 'dataset': '../datasets/MUTAG/MUTAG_A.txt'}, # node/edge symb\n",
     "    {'name': 'Letter-med', 'dataset': '../datasets/Letter-med/Letter-med_A.txt'},\n",
     "    # node nsymb\n",
     "    {'name': 'ENZYMES', 'dataset': '../datasets/ENZYMES_txt/ENZYMES_A_sparse.txt'},\n",
     "    # node symb/nsymb\n",
     "#    {'name': 'Mutagenicity', 'dataset': '../datasets/Mutagenicity/Mutagenicity_A.txt'},\n",
     "#    # node/edge symb\n",
-    "#    {'name': 'D&D', 'dataset': '../datasets/D&D/DD.mat',\n",
-    "#     'extra_params': {'am_sp_al_nl_el': [0, 1, 2, 1, -1]}},  # node symb\n",
+    "#    {'name': 'D&D', 'dataset': '../datasets/DD/DD_A.txt'}, # node symb\n",
     "\n",
     "    #     {'name': 'COIL-DEL', 'dataset': '../datasets/COIL-DEL/COIL-DEL_A.txt'}, # edge symb, node nsymb\n",
     "    # # #     {'name': 'BZR', 'dataset': '../datasets/BZR_txt/BZR_A_sparse.txt'}, # node symb/nsymb\n",
diff --git a/notebooks/run_marginalizedkernel.py b/notebooks/run_marginalizedkernel.py
index 93e3724..e8ef6b7 100644
--- a/notebooks/run_marginalizedkernel.py
+++ b/notebooks/run_marginalizedkernel.py
@@ -15,20 +15,18 @@ dslist = [
     {'name': 'Acyclic', 'dataset': '../datasets/acyclic/dataset_bps.ds',
         'task': 'regression'},  # node symb
     {'name': 'Alkane', 'dataset': '../datasets/Alkane/dataset.ds', 'task': 'regression',
-             'dataset_y': '../datasets/Alkane/dataset_boiling_point_names.txt', },  
+        'dataset_y': '../datasets/Alkane/dataset_boiling_point_names.txt'},  
     # contains single node graph, node symb
-    {'name': 'MAO', 'dataset': '../datasets/MAO/dataset.ds', },  # node/edge symb
-    {'name': 'PAH', 'dataset': '../datasets/PAH/dataset.ds', },  # unlabeled
-    {'name': 'MUTAG', 'dataset': '../datasets/MUTAG/MUTAG.mat',
-             'extra_params': {'am_sp_al_nl_el': [0, 0, 3, 1, 2]}},  # node/edge symb
+    {'name': 'MAO', 'dataset': '../datasets/MAO/dataset.ds'}, # node/edge symb
+    {'name': 'PAH', 'dataset': '../datasets/PAH/dataset.ds'}, # unlabeled
+    {'name': 'MUTAG', 'dataset': '../datasets/MUTAG/MUTAG_A.txt'}, # node/edge symb
     {'name': 'Letter-med', 'dataset': '../datasets/Letter-med/Letter-med_A.txt'},
     # node nsymb
     {'name': 'ENZYMES', 'dataset': '../datasets/ENZYMES_txt/ENZYMES_A_sparse.txt'},
     # node symb/nsymb
 #    {'name': 'Mutagenicity', 'dataset': '../datasets/Mutagenicity/Mutagenicity_A.txt'},
 #    # node/edge symb
-#    {'name': 'D&D', 'dataset': '../datasets/D&D/DD.mat',
-#     'extra_params': {'am_sp_al_nl_el': [0, 1, 2, 1, -1]}},  # node symb
+#    {'name': 'D&D', 'dataset': '../datasets/DD/DD_A.txt'}, # node symb
 
     #     {'name': 'COIL-DEL', 'dataset': '../datasets/COIL-DEL/COIL-DEL_A.txt'}, # edge symb, node nsymb
     # # #     {'name': 'BZR', 'dataset': '../datasets/BZR_txt/BZR_A_sparse.txt'}, # node symb/nsymb
diff --git a/notebooks/run_randomwalkkernel.ipynb b/notebooks/run_randomwalkkernel.ipynb
index 0841d6c..c30c0ff 100644
--- a/notebooks/run_randomwalkkernel.ipynb
+++ b/notebooks/run_randomwalkkernel.ipynb
@@ -219,20 +219,18 @@
     "    {'name': 'Acyclic', 'dataset': '../datasets/acyclic/dataset_bps.ds',\n",
     "        'task': 'regression'},  # node symb\n",
     "    {'name': 'Alkane', 'dataset': '../datasets/Alkane/dataset.ds', 'task': 'regression',\n",
-    "             'dataset_y': '../datasets/Alkane/dataset_boiling_point_names.txt', },  \n",
+    "        'dataset_y': '../datasets/Alkane/dataset_boiling_point_names.txt'},  \n",
     "    # contains single node graph, node symb\n",
-    "    {'name': 'MAO', 'dataset': '../datasets/MAO/dataset.ds', },  # node/edge symb\n",
-    "    {'name': 'PAH', 'dataset': '../datasets/PAH/dataset.ds', },  # unlabeled\n",
-    "    {'name': 'MUTAG', 'dataset': '../datasets/MUTAG/MUTAG.mat',\n",
-    "             'extra_params': {'am_sp_al_nl_el': [0, 0, 3, 1, 2]}},  # node/edge symb\n",
+    "    {'name': 'MAO', 'dataset': '../datasets/MAO/dataset.ds'}, # node/edge symb\n",
+    "    {'name': 'PAH', 'dataset': '../datasets/PAH/dataset.ds'}, # unlabeled\n",
+    "    {'name': 'MUTAG', 'dataset': '../datasets/MUTAG/MUTAG_A.txt'}, # node/edge symb\n",
     "    {'name': 'Letter-med', 'dataset': '../datasets/Letter-med/Letter-med_A.txt'},\n",
     "    # node nsymb\n",
     "    {'name': 'ENZYMES', 'dataset': '../datasets/ENZYMES_txt/ENZYMES_A_sparse.txt'},\n",
     "    # node symb/nsymb\n",
     "#    {'name': 'Mutagenicity', 'dataset': '../datasets/Mutagenicity/Mutagenicity_A.txt'},\n",
     "#    # node/edge symb\n",
-    "#    {'name': 'D&D', 'dataset': '../datasets/D&D/DD.mat',\n",
-    "#     'extra_params': {'am_sp_al_nl_el': [0, 1, 2, 1, -1]}},  # node symb\n",
+    "#    {'name': 'D&D', 'dataset': '../datasets/DD/DD_A.txt'}, # node symb\n",
     "\n",
     "    #     {'name': 'COIL-DEL', 'dataset': '../datasets/COIL-DEL/COIL-DEL_A.txt'}, # edge symb, node nsymb\n",
     "    # # #     {'name': 'BZR', 'dataset': '../datasets/BZR_txt/BZR_A_sparse.txt'}, # node symb/nsymb\n",
diff --git a/notebooks/run_randomwalkkernel.py b/notebooks/run_randomwalkkernel.py
index 381ba80..4c258ba 100644
--- a/notebooks/run_randomwalkkernel.py
+++ b/notebooks/run_randomwalkkernel.py
@@ -20,20 +20,18 @@ dslist = [
     {'name': 'Acyclic', 'dataset': '../datasets/acyclic/dataset_bps.ds',
         'task': 'regression'},  # node symb
     {'name': 'Alkane', 'dataset': '../datasets/Alkane/dataset.ds', 'task': 'regression',
-             'dataset_y': '../datasets/Alkane/dataset_boiling_point_names.txt', },  
+        'dataset_y': '../datasets/Alkane/dataset_boiling_point_names.txt'},  
     # contains single node graph, node symb
-    {'name': 'MAO', 'dataset': '../datasets/MAO/dataset.ds', },  # node/edge symb
-    {'name': 'PAH', 'dataset': '../datasets/PAH/dataset.ds', },  # unlabeled
-    {'name': 'MUTAG', 'dataset': '../datasets/MUTAG/MUTAG.mat',
-             'extra_params': {'am_sp_al_nl_el': [0, 0, 3, 1, 2]}},  # node/edge symb
+    {'name': 'MAO', 'dataset': '../datasets/MAO/dataset.ds'}, # node/edge symb
+    {'name': 'PAH', 'dataset': '../datasets/PAH/dataset.ds'}, # unlabeled
+    {'name': 'MUTAG', 'dataset': '../datasets/MUTAG/MUTAG_A.txt'}, # node/edge symb
     {'name': 'Letter-med', 'dataset': '../datasets/Letter-med/Letter-med_A.txt'},
     # node nsymb
     {'name': 'ENZYMES', 'dataset': '../datasets/ENZYMES_txt/ENZYMES_A_sparse.txt'},
     # node symb/nsymb
 #    {'name': 'Mutagenicity', 'dataset': '../datasets/Mutagenicity/Mutagenicity_A.txt'},
 #    # node/edge symb
-#    {'name': 'D&D', 'dataset': '../datasets/D&D/DD.mat',
-#     'extra_params': {'am_sp_al_nl_el': [0, 1, 2, 1, -1]}},  # node symb
+#    {'name': 'D&D', 'dataset': '../datasets/DD/DD_A.txt'}, # node symb
 
     #     {'name': 'COIL-DEL', 'dataset': '../datasets/COIL-DEL/COIL-DEL_A.txt'}, # edge symb, node nsymb
     # # #     {'name': 'BZR', 'dataset': '../datasets/BZR_txt/BZR_A_sparse.txt'}, # node symb/nsymb
@@ -65,6 +63,7 @@ dslist = [
 estimator = randomwalkkernel
 param_grid = [{'C': np.logspace(-10, 10, num=41, base=10)},
               {'alpha': np.logspace(-10, 10, num=41, base=10)}]
+gaussiankernel = functools.partial(gaussiankernel, gamma=0.5)
 
 for ds in dslist:
     print()
@@ -108,4 +107,4 @@ for ds in dslist:
             n_jobs=multiprocessing.cpu_count(),
             read_gm_from_file=False,
             verbose=True)
-    print()
\ No newline at end of file
+    print()
diff --git a/notebooks/run_spkernel.ipynb b/notebooks/run_spkernel.ipynb
index ad866f6..b0d0eb2 100644
--- a/notebooks/run_spkernel.ipynb
+++ b/notebooks/run_spkernel.ipynb
@@ -171,21 +171,18 @@
     "    {'name': 'Acyclic', 'dataset': '../datasets/acyclic/dataset_bps.ds',\n",
     "        'task': 'regression'},  # node symb\n",
     "    {'name': 'Alkane', 'dataset': '../datasets/Alkane/dataset.ds', 'task': 'regression',\n",
-    "             'dataset_y': '../datasets/Alkane/dataset_boiling_point_names.txt', },  \n",
+    "        'dataset_y': '../datasets/Alkane/dataset_boiling_point_names.txt'},  \n",
     "    # contains single node graph, node symb\n",
-    "    {'name': 'MAO', 'dataset': '../datasets/MAO/dataset.ds', },  # node/edge symb\n",
-    "    {'name': 'PAH', 'dataset': '../datasets/PAH/dataset.ds', },  # unlabeled\n",
-    "    {'name': 'MUTAG', 'dataset': '../datasets/MUTAG/MUTAG.mat',\n",
-    "             'extra_params': {'am_sp_al_nl_el': [0, 0, 3, 1, 2]}},  # node/edge symb\n",
+    "    {'name': 'MAO', 'dataset': '../datasets/MAO/dataset.ds'}, # node/edge symb\n",
+    "    {'name': 'PAH', 'dataset': '../datasets/PAH/dataset.ds'}, # unlabeled\n",
+    "    {'name': 'MUTAG', 'dataset': '../datasets/MUTAG/MUTAG_A.txt'}, # node/edge symb\n",
     "    {'name': 'Letter-med', 'dataset': '../datasets/Letter-med/Letter-med_A.txt'},\n",
     "    # node nsymb\n",
     "    {'name': 'ENZYMES', 'dataset': '../datasets/ENZYMES_txt/ENZYMES_A_sparse.txt'},\n",
     "    # node symb/nsymb\n",
-    "\n",
     "#    {'name': 'Mutagenicity', 'dataset': '../datasets/Mutagenicity/Mutagenicity_A.txt'},\n",
     "#    # node/edge symb\n",
-    "#    {'name': 'D&D', 'dataset': '../datasets/D&D/DD.mat',\n",
-    "#     'extra_params': {'am_sp_al_nl_el': [0, 1, 2, 1, -1]}},  # node symb\n",
+    "#    {'name': 'D&D', 'dataset': '../datasets/DD/DD_A.txt'}, # node symb\n",
     "#\n",
     "#    {'name': 'COIL-DEL', 'dataset': '../datasets/COIL-DEL/COIL-DEL_A.txt'}, # edge symb, node nsymb\n",
     "#    {'name': 'BZR', 'dataset': '../datasets/BZR_txt/BZR_A_sparse.txt'}, # node symb/nsymb\n",
diff --git a/notebooks/run_spkernel.py b/notebooks/run_spkernel.py
index a8634d4..583fb0a 100644
--- a/notebooks/run_spkernel.py
+++ b/notebooks/run_spkernel.py
@@ -11,21 +11,18 @@ dslist = [
     {'name': 'Acyclic', 'dataset': '../datasets/acyclic/dataset_bps.ds',
         'task': 'regression'},  # node symb
     {'name': 'Alkane', 'dataset': '../datasets/Alkane/dataset.ds', 'task': 'regression',
-             'dataset_y': '../datasets/Alkane/dataset_boiling_point_names.txt', },  
+        'dataset_y': '../datasets/Alkane/dataset_boiling_point_names.txt'},  
     # contains single node graph, node symb
-    {'name': 'MAO', 'dataset': '../datasets/MAO/dataset.ds', },  # node/edge symb
-    {'name': 'PAH', 'dataset': '../datasets/PAH/dataset.ds', },  # unlabeled
-    {'name': 'MUTAG', 'dataset': '../datasets/MUTAG/MUTAG.mat',
-             'extra_params': {'am_sp_al_nl_el': [0, 0, 3, 1, 2]}},  # node/edge symb
+    {'name': 'MAO', 'dataset': '../datasets/MAO/dataset.ds'}, # node/edge symb
+    {'name': 'PAH', 'dataset': '../datasets/PAH/dataset.ds'}, # unlabeled
+    {'name': 'MUTAG', 'dataset': '../datasets/MUTAG/MUTAG_A.txt'}, # node/edge symb
     {'name': 'Letter-med', 'dataset': '../datasets/Letter-med/Letter-med_A.txt'},
     # node nsymb
     {'name': 'ENZYMES', 'dataset': '../datasets/ENZYMES_txt/ENZYMES_A_sparse.txt'},
     # node symb/nsymb
-
 #    {'name': 'Mutagenicity', 'dataset': '../datasets/Mutagenicity/Mutagenicity_A.txt'},
 #    # node/edge symb
-#    {'name': 'D&D', 'dataset': '../datasets/D&D/DD.mat',
-#     'extra_params': {'am_sp_al_nl_el': [0, 1, 2, 1, -1]}},  # node symb
+#    {'name': 'D&D', 'dataset': '../datasets/DD/DD_A.txt'}, # node symb
 #
 #    {'name': 'COIL-DEL', 'dataset': '../datasets/COIL-DEL/COIL-DEL_A.txt'}, # edge symb, node nsymb
 #    {'name': 'BZR', 'dataset': '../datasets/BZR_txt/BZR_A_sparse.txt'}, # node symb/nsymb
@@ -79,4 +76,4 @@ for ds in dslist:
         n_jobs=multiprocessing.cpu_count(),
         read_gm_from_file=False,
         verbose=True)
-    print()
\ No newline at end of file
+    print()
diff --git a/notebooks/run_structuralspkernel.ipynb b/notebooks/run_structuralspkernel.ipynb
index 43f7c1c..c34fb1f 100644
--- a/notebooks/run_structuralspkernel.ipynb
+++ b/notebooks/run_structuralspkernel.ipynb
@@ -124,20 +124,18 @@
     "    {'name': 'Acyclic', 'dataset': '../datasets/acyclic/dataset_bps.ds',\n",
     "        'task': 'regression'},  # node symb\n",
     "    {'name': 'Alkane', 'dataset': '../datasets/Alkane/dataset.ds', 'task': 'regression',\n",
-    "             'dataset_y': '../datasets/Alkane/dataset_boiling_point_names.txt', },  \n",
+    "        'dataset_y': '../datasets/Alkane/dataset_boiling_point_names.txt'},  \n",
     "    # contains single node graph, node symb\n",
-    "    {'name': 'MAO', 'dataset': '../datasets/MAO/dataset.ds', },  # node/edge symb\n",
-    "    {'name': 'PAH', 'dataset': '../datasets/PAH/dataset.ds', },  # unlabeled\n",
-    "    {'name': 'MUTAG', 'dataset': '../datasets/MUTAG/MUTAG.mat',\n",
-    "             'extra_params': {'am_sp_al_nl_el': [0, 0, 3, 1, 2]}},  # node/edge symb\n",
+    "    {'name': 'MAO', 'dataset': '../datasets/MAO/dataset.ds'}, # node/edge symb\n",
+    "    {'name': 'PAH', 'dataset': '../datasets/PAH/dataset.ds'}, # unlabeled\n",
+    "    {'name': 'MUTAG', 'dataset': '../datasets/MUTAG/MUTAG_A.txt'}, # node/edge symb\n",
     "    {'name': 'Letter-med', 'dataset': '../datasets/Letter-med/Letter-med_A.txt'},\n",
     "    # node nsymb\n",
     "    {'name': 'ENZYMES', 'dataset': '../datasets/ENZYMES_txt/ENZYMES_A_sparse.txt'},\n",
     "    # node symb/nsymb\n",
     "#    {'name': 'Mutagenicity', 'dataset': '../datasets/Mutagenicity/Mutagenicity_A.txt'},\n",
     "#    # node/edge symb\n",
-    "#    {'name': 'D&D', 'dataset': '../datasets/D&D/DD.mat',\n",
-    "#     'extra_params': {'am_sp_al_nl_el': [0, 1, 2, 1, -1]}},  # node symb\n",
+    "#    {'name': 'D&D', 'dataset': '../datasets/DD/DD_A.txt'}, # node symb\n",
     "\n",
     "    #     {'name': 'COIL-DEL', 'dataset': '../datasets/COIL-DEL/COIL-DEL_A.txt'}, # edge symb, node nsymb\n",
     "    # # #     {'name': 'BZR', 'dataset': '../datasets/BZR_txt/BZR_A_sparse.txt'}, # node symb/nsymb\n",
diff --git a/notebooks/run_structuralspkernel.py b/notebooks/run_structuralspkernel.py
index 1ceb07c..836f0a6 100644
--- a/notebooks/run_structuralspkernel.py
+++ b/notebooks/run_structuralspkernel.py
@@ -17,20 +17,18 @@ dslist = [
     {'name': 'Acyclic', 'dataset': '../datasets/acyclic/dataset_bps.ds',
         'task': 'regression'},  # node symb
     {'name': 'Alkane', 'dataset': '../datasets/Alkane/dataset.ds', 'task': 'regression',
-             'dataset_y': '../datasets/Alkane/dataset_boiling_point_names.txt', },  
+        'dataset_y': '../datasets/Alkane/dataset_boiling_point_names.txt'},  
     # contains single node graph, node symb
-    {'name': 'MAO', 'dataset': '../datasets/MAO/dataset.ds', },  # node/edge symb
-    {'name': 'PAH', 'dataset': '../datasets/PAH/dataset.ds', },  # unlabeled
-    {'name': 'MUTAG', 'dataset': '../datasets/MUTAG/MUTAG.mat',
-             'extra_params': {'am_sp_al_nl_el': [0, 0, 3, 1, 2]}},  # node/edge symb
+    {'name': 'MAO', 'dataset': '../datasets/MAO/dataset.ds'}, # node/edge symb
+    {'name': 'PAH', 'dataset': '../datasets/PAH/dataset.ds'}, # unlabeled
+    {'name': 'MUTAG', 'dataset': '../datasets/MUTAG/MUTAG_A.txt'}, # node/edge symb
     {'name': 'Letter-med', 'dataset': '../datasets/Letter-med/Letter-med_A.txt'},
     # node nsymb
     {'name': 'ENZYMES', 'dataset': '../datasets/ENZYMES_txt/ENZYMES_A_sparse.txt'},
     # node symb/nsymb
 #    {'name': 'Mutagenicity', 'dataset': '../datasets/Mutagenicity/Mutagenicity_A.txt'},
 #    # node/edge symb
-#    {'name': 'D&D', 'dataset': '../datasets/D&D/DD.mat',
-#     'extra_params': {'am_sp_al_nl_el': [0, 1, 2, 1, -1]}},  # node symb
+#    {'name': 'D&D', 'dataset': '../datasets/DD/DD_A.txt'}, # node symb
 
     #     {'name': 'COIL-DEL', 'dataset': '../datasets/COIL-DEL/COIL-DEL_A.txt'}, # edge symb, node nsymb
     # # #     {'name': 'BZR', 'dataset': '../datasets/BZR_txt/BZR_A_sparse.txt'}, # node symb/nsymb
@@ -86,4 +84,4 @@ for ds in dslist:
         n_jobs=multiprocessing.cpu_count(),
         read_gm_from_file=False,
         verbose=True)
-    print()
\ No newline at end of file
+    print()
diff --git a/notebooks/run_treeletkernel.ipynb b/notebooks/run_treeletkernel.ipynb
index 2d7d2a2..413a627 100644
--- a/notebooks/run_treeletkernel.ipynb
+++ b/notebooks/run_treeletkernel.ipynb
@@ -100,20 +100,18 @@
     "    {'name': 'Acyclic', 'dataset': '../datasets/acyclic/dataset_bps.ds',\n",
     "        'task': 'regression'},  # node symb\n",
     "    {'name': 'Alkane', 'dataset': '../datasets/Alkane/dataset.ds', 'task': 'regression',\n",
-    "             'dataset_y': '../datasets/Alkane/dataset_boiling_point_names.txt', },  \n",
+    "        'dataset_y': '../datasets/Alkane/dataset_boiling_point_names.txt'},  \n",
     "    # contains single node graph, node symb\n",
-    "    {'name': 'MAO', 'dataset': '../datasets/MAO/dataset.ds', },  # node/edge symb\n",
-    "    {'name': 'PAH', 'dataset': '../datasets/PAH/dataset.ds', },  # unlabeled\n",
-    "    {'name': 'MUTAG', 'dataset': '../datasets/MUTAG/MUTAG.mat',\n",
-    "             'extra_params': {'am_sp_al_nl_el': [0, 0, 3, 1, 2]}},  # node/edge symb\n",
+    "    {'name': 'MAO', 'dataset': '../datasets/MAO/dataset.ds'}, # node/edge symb\n",
+    "    {'name': 'PAH', 'dataset': '../datasets/PAH/dataset.ds'}, # unlabeled\n",
+    "    {'name': 'MUTAG', 'dataset': '../datasets/MUTAG/MUTAG_A.txt'}, # node/edge symb\n",
     "#    {'name': 'Letter-med', 'dataset': '../datasets/Letter-med/Letter-med_A.txt'},\n",
     "#    # node nsymb\n",
     "    {'name': 'ENZYMES', 'dataset': '../datasets/ENZYMES_txt/ENZYMES_A_sparse.txt'},\n",
     "    # node symb/nsymb\n",
     "#    {'name': 'Mutagenicity', 'dataset': '../datasets/Mutagenicity/Mutagenicity_A.txt'},\n",
     "#    # node/edge symb\n",
-    "#    {'name': 'D&D', 'dataset': '../datasets/D&D/DD.mat',\n",
-    "#     'extra_params': {'am_sp_al_nl_el': [0, 1, 2, 1, -1]}},  # node symb\n",
+    "#    {'name': 'D&D', 'dataset': '../datasets/DD/DD_A.txt'}, # node symb\n",
     "\n",
     "    #     {'name': 'COIL-DEL', 'dataset': '../datasets/COIL-DEL/COIL-DEL_A.txt'}, # edge symb, node nsymb\n",
     "    # # #     {'name': 'BZR', 'dataset': '../datasets/BZR_txt/BZR_A_sparse.txt'}, # node symb/nsymb\n",
diff --git a/notebooks/run_treeletkernel.py b/notebooks/run_treeletkernel.py
index ab0f678..1078eb2 100644
--- a/notebooks/run_treeletkernel.py
+++ b/notebooks/run_treeletkernel.py
@@ -1,7 +1,7 @@
 #!/usr/bin/env python3
 # -*- coding: utf-8 -*-
 """
-Created on Fri Oct  5 19:19:33 2018
+Created on Mon Mar  21 11:19:33 2019
 
 @author: ljia
 """
@@ -10,26 +10,24 @@ from libs import *
 import multiprocessing
 
 from pygraph.kernels.treeletKernel import treeletkernel
-from pygraph.utils.kernels import gaussiankernel, polynomialkernel
+from pygraph.utils.kernels import gaussiankernel, linearkernel, polynomialkernel
 
 dslist = [
     {'name': 'Acyclic', 'dataset': '../datasets/acyclic/dataset_bps.ds',
         'task': 'regression'},  # node symb
     {'name': 'Alkane', 'dataset': '../datasets/Alkane/dataset.ds', 'task': 'regression',
-             'dataset_y': '../datasets/Alkane/dataset_boiling_point_names.txt', },  
+        'dataset_y': '../datasets/Alkane/dataset_boiling_point_names.txt'},  
     # contains single node graph, node symb
-    {'name': 'MAO', 'dataset': '../datasets/MAO/dataset.ds', },  # node/edge symb
-    {'name': 'PAH', 'dataset': '../datasets/PAH/dataset.ds', },  # unlabeled
-    {'name': 'MUTAG', 'dataset': '../datasets/MUTAG/MUTAG.mat',
-             'extra_params': {'am_sp_al_nl_el': [0, 0, 3, 1, 2]}},  # node/edge symb
+    {'name': 'MAO', 'dataset': '../datasets/MAO/dataset.ds'}, # node/edge symb
+    {'name': 'PAH', 'dataset': '../datasets/PAH/dataset.ds'}, # unlabeled
+    {'name': 'MUTAG', 'dataset': '../datasets/MUTAG/MUTAG_A.txt'}, # node/edge symb
 #    {'name': 'Letter-med', 'dataset': '../datasets/Letter-med/Letter-med_A.txt'},
 #    # node nsymb
     {'name': 'ENZYMES', 'dataset': '../datasets/ENZYMES_txt/ENZYMES_A_sparse.txt'},
     # node symb/nsymb
 #    {'name': 'Mutagenicity', 'dataset': '../datasets/Mutagenicity/Mutagenicity_A.txt'},
 #    # node/edge symb
-#    {'name': 'D&D', 'dataset': '../datasets/D&D/DD.mat',
-#     'extra_params': {'am_sp_al_nl_el': [0, 1, 2, 1, -1]}},  # node symb
+#    {'name': 'D&D', 'dataset': '../datasets/DD/DD_A.txt'}, # node symb
 
     #     {'name': 'COIL-DEL', 'dataset': '../datasets/COIL-DEL/COIL-DEL_A.txt'}, # edge symb, node nsymb
     # # #     {'name': 'BZR', 'dataset': '../datasets/BZR_txt/BZR_A_sparse.txt'}, # node symb/nsymb
@@ -59,7 +57,7 @@ dslist = [
     #     {'name': 'PTC_MR', 'dataset': '../datasets/PTC/Train/MR.ds',},
 ]
 estimator = treeletkernel
-param_grid_precomputed = {'sub_kernel': [gaussiankernel, polynomialkernel]}
+param_grid_precomputed = {'sub_kernel': [gaussiankernel, linearkernel, polynomialkernel]}
 param_grid = [{'C': np.logspace(-10, 10, num=41, base=10)},
               {'alpha': np.logspace(-10, 10, num=41, base=10)}]
 
@@ -80,4 +78,4 @@ for ds in dslist:
         n_jobs=multiprocessing.cpu_count(),
         read_gm_from_file=False,
         verbose=True)
-    print()
\ No newline at end of file
+    print()
diff --git a/notebooks/run_untilhpathkernel.ipynb b/notebooks/run_untilhpathkernel.ipynb
index 694d632..265c3de 100644
--- a/notebooks/run_untilhpathkernel.ipynb
+++ b/notebooks/run_untilhpathkernel.ipynb
@@ -227,13 +227,7 @@
       "the gram matrix with parameters {'compute_method': 'trie', 'depth': 1.0, 'k_func': 'tanimoto', 'n_jobs': 8, 'verbose': True} is: \n",
       "\n",
       "\n",
-      "getting paths: 150it [00:00, 27568.71it/s]\n"
-     ]
-    },
-    {
-     "name": "stdout",
-     "output_type": "stream",
-     "text": [
+      "getting paths: 150it [00:00, 27568.71it/s]\n",
       "calculating kernels: 11325it [00:00, 780628.98it/s]\n",
       "\n",
       " --- kernel matrix of path kernel up to 2 of size 150 built in 0.2590019702911377 seconds ---\n",
@@ -265,20 +259,18 @@
     "    {'name': 'Acyclic', 'dataset': '../datasets/acyclic/dataset_bps.ds',\n",
     "        'task': 'regression'},  # node symb\n",
     "    {'name': 'Alkane', 'dataset': '../datasets/Alkane/dataset.ds', 'task': 'regression',\n",
-    "             'dataset_y': '../datasets/Alkane/dataset_boiling_point_names.txt', },  \n",
+    "        'dataset_y': '../datasets/Alkane/dataset_boiling_point_names.txt'},  \n",
     "    # contains single node graph, node symb\n",
-    "    {'name': 'MAO', 'dataset': '../datasets/MAO/dataset.ds', },  # node/edge symb\n",
-    "    {'name': 'PAH', 'dataset': '../datasets/PAH/dataset.ds', },  # unlabeled\n",
-    "    {'name': 'MUTAG', 'dataset': '../datasets/MUTAG/MUTAG.mat',\n",
-    "             'extra_params': {'am_sp_al_nl_el': [0, 0, 3, 1, 2]}},  # node/edge symb\n",
+    "    {'name': 'MAO', 'dataset': '../datasets/MAO/dataset.ds'}, # node/edge symb\n",
+    "    {'name': 'PAH', 'dataset': '../datasets/PAH/dataset.ds'}, # unlabeled\n",
+    "    {'name': 'MUTAG', 'dataset': '../datasets/MUTAG/MUTAG_A.txt'}, # node/edge symb\n",
     "    {'name': 'Letter-med', 'dataset': '../datasets/Letter-med/Letter-med_A.txt'},\n",
     "    # node nsymb\n",
     "    {'name': 'ENZYMES', 'dataset': '../datasets/ENZYMES_txt/ENZYMES_A_sparse.txt'},\n",
     "    # node symb/nsymb\n",
     "#    {'name': 'Mutagenicity', 'dataset': '../datasets/Mutagenicity/Mutagenicity_A.txt'},\n",
     "#    # node/edge symb\n",
-    "#    {'name': 'D&D', 'dataset': '../datasets/D&D/DD.mat',\n",
-    "#     'extra_params': {'am_sp_al_nl_el': [0, 1, 2, 1, -1]}},  # node symb\n",
+    "#    {'name': 'D&D', 'dataset': '../datasets/DD/DD_A.txt'}, # node symb\n",
     "\n",
     "    #     {'name': 'COIL-DEL', 'dataset': '../datasets/COIL-DEL/COIL-DEL_A.txt'}, # edge symb, node nsymb\n",
     "    # # #     {'name': 'BZR', 'dataset': '../datasets/BZR_txt/BZR_A_sparse.txt'}, # node symb/nsymb\n",
diff --git a/notebooks/run_untilhpathkernel.py b/notebooks/run_untilhpathkernel.py
index c7992b4..867a8a7 100644
--- a/notebooks/run_untilhpathkernel.py
+++ b/notebooks/run_untilhpathkernel.py
@@ -15,20 +15,18 @@ dslist = [
     {'name': 'Acyclic', 'dataset': '../datasets/acyclic/dataset_bps.ds',
         'task': 'regression'},  # node symb
     {'name': 'Alkane', 'dataset': '../datasets/Alkane/dataset.ds', 'task': 'regression',
-             'dataset_y': '../datasets/Alkane/dataset_boiling_point_names.txt', },  
+        'dataset_y': '../datasets/Alkane/dataset_boiling_point_names.txt'},  
     # contains single node graph, node symb
-    {'name': 'MAO', 'dataset': '../datasets/MAO/dataset.ds', },  # node/edge symb
-    {'name': 'PAH', 'dataset': '../datasets/PAH/dataset.ds', },  # unlabeled
-    {'name': 'MUTAG', 'dataset': '../datasets/MUTAG/MUTAG.mat',
-             'extra_params': {'am_sp_al_nl_el': [0, 0, 3, 1, 2]}},  # node/edge symb
+    {'name': 'MAO', 'dataset': '../datasets/MAO/dataset.ds'}, # node/edge symb
+    {'name': 'PAH', 'dataset': '../datasets/PAH/dataset.ds'}, # unlabeled
+    {'name': 'MUTAG', 'dataset': '../datasets/MUTAG/MUTAG_A.txt'}, # node/edge symb
     {'name': 'Letter-med', 'dataset': '../datasets/Letter-med/Letter-med_A.txt'},
     # node nsymb
     {'name': 'ENZYMES', 'dataset': '../datasets/ENZYMES_txt/ENZYMES_A_sparse.txt'},
     # node symb/nsymb
 #    {'name': 'Mutagenicity', 'dataset': '../datasets/Mutagenicity/Mutagenicity_A.txt'},
 #    # node/edge symb
-#    {'name': 'D&D', 'dataset': '../datasets/D&D/DD.mat',
-#     'extra_params': {'am_sp_al_nl_el': [0, 1, 2, 1, -1]}},  # node symb
+#    {'name': 'D&D', 'dataset': '../datasets/DD/DD_A.txt'}, # node symb
 
     #     {'name': 'COIL-DEL', 'dataset': '../datasets/COIL-DEL/COIL-DEL_A.txt'}, # edge symb, node nsymb
     # # #     {'name': 'BZR', 'dataset': '../datasets/BZR_txt/BZR_A_sparse.txt'}, # node symb/nsymb
@@ -81,4 +79,4 @@ for ds in dslist:
         n_jobs=multiprocessing.cpu_count(),
         read_gm_from_file=False,
         verbose=True)
-    print()
\ No newline at end of file
+    print()
diff --git a/notebooks/run_weisfeilerlehmankernel.ipynb b/notebooks/run_weisfeilerlehmankernel.ipynb
new file mode 100644
index 0000000..6b3f515
--- /dev/null
+++ b/notebooks/run_weisfeilerlehmankernel.ipynb
@@ -0,0 +1,144 @@
+{
+ "cells": [
+  {
+   "cell_type": "code",
+   "execution_count": null,
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "\n",
+      "MUTAG\n",
+      "\n",
+      "--- This is a classification problem ---\n",
+      "\n",
+      "\n",
+      "1. Loading dataset from file...\n",
+      "\n",
+      "2. Calculating gram matrices. This could take a while...\n",
+      "\n",
+      " --- Weisfeiler-Lehman subtree kernel matrix of size 188 built in 0.14636015892028809 seconds ---\n",
+      "\n",
+      "the gram matrix with parameters {'base_kernel': 'subtree', 'height': 0.0, 'n_jobs': 8, 'verbose': True} is: \n",
+      "\n",
+      "\n",
+      "\n",
+      " --- Weisfeiler-Lehman subtree kernel matrix of size 188 built in 0.2917311191558838 seconds ---\n",
+      "\n",
+      "the gram matrix with parameters {'base_kernel': 'subtree', 'height': 1.0, 'n_jobs': 8, 'verbose': True} is: \n",
+      "\n",
+      "\n"
+     ]
+    }
+   ],
+   "source": [
+    "#!/usr/bin/env python3\n",
+    "# -*- coding: utf-8 -*-\n",
+    "\"\"\"\n",
+    "Created on Mon Mar  21 11:19:33 2019\n",
+    "\n",
+    "@author: ljia\n",
+    "\"\"\"\n",
+    "\n",
+    "from libs import *\n",
+    "import multiprocessing\n",
+    "\n",
+    "from pygraph.kernels.weisfeilerLehmanKernel import weisfeilerlehmankernel\n",
+    "from pygraph.utils.kernels import gaussiankernel, polynomialkernel\n",
+    "\n",
+    "\n",
+    "dslist = [\n",
+    "    {'name': 'Acyclic', 'dataset': '../datasets/acyclic/dataset_bps.ds',\n",
+    "        'task': 'regression'},  # node symb\n",
+    "    {'name': 'Alkane', 'dataset': '../datasets/Alkane/dataset.ds', 'task': 'regression',\n",
+    "        'dataset_y': '../datasets/Alkane/dataset_boiling_point_names.txt'},  \n",
+    "    # contains single node graph, node symb\n",
+    "    {'name': 'MAO', 'dataset': '../datasets/MAO/dataset.ds'}, # node/edge symb\n",
+    "    {'name': 'PAH', 'dataset': '../datasets/PAH/dataset.ds'}, # unlabeled\n",
+    "    {'name': 'MUTAG', 'dataset': '../datasets/MUTAG/MUTAG_A.txt'}, # node/edge symb\n",
+    "    {'name': 'Letter-med', 'dataset': '../datasets/Letter-med/Letter-med_A.txt'},\n",
+    "    # node nsymb\n",
+    "    {'name': 'ENZYMES', 'dataset': '../datasets/ENZYMES_txt/ENZYMES_A_sparse.txt'},\n",
+    "    # node symb/nsymb\n",
+    "#    {'name': 'Mutagenicity', 'dataset': '../datasets/Mutagenicity/Mutagenicity_A.txt'},\n",
+    "#    # node/edge symb\n",
+    "    {'name': 'D&D', 'dataset': '../datasets/DD/DD_A.txt'}, # node symb\n",
+    "\n",
+    "    #     {'name': 'COIL-DEL', 'dataset': '../datasets/COIL-DEL/COIL-DEL_A.txt'}, # edge symb, node nsymb\n",
+    "    # # #     {'name': 'BZR', 'dataset': '../datasets/BZR_txt/BZR_A_sparse.txt'}, # node symb/nsymb\n",
+    "    # # #     {'name': 'COX2', 'dataset': '../datasets/COX2_txt/COX2_A_sparse.txt'}, # node symb/nsymb\n",
+    "    #     {'name': 'Fingerprint', 'dataset': '../datasets/Fingerprint/Fingerprint_A.txt'},\n",
+    "    #\n",
+    "    # #     {'name': 'DHFR', 'dataset': '../datasets/DHFR_txt/DHFR_A_sparse.txt'}, # node symb/nsymb\n",
+    "    # #     {'name': 'SYNTHETIC', 'dataset': '../datasets/SYNTHETIC_txt/SYNTHETIC_A_sparse.txt'}, # node symb/nsymb\n",
+    "    # #     {'name': 'MSRC9', 'dataset': '../datasets/MSRC_9_txt/MSRC_9_A.txt'}, # node symb\n",
+    "    # #     {'name': 'MSRC21', 'dataset': '../datasets/MSRC_21_txt/MSRC_21_A.txt'}, # node symb\n",
+    "    # #     {'name': 'FIRSTMM_DB', 'dataset': '../datasets/FIRSTMM_DB/FIRSTMM_DB_A.txt'}, # node symb/nsymb ,edge nsymb\n",
+    "\n",
+    "    # #     {'name': 'PROTEINS', 'dataset': '../datasets/PROTEINS_txt/PROTEINS_A_sparse.txt'}, # node symb/nsymb\n",
+    "    # #     {'name': 'PROTEINS_full', 'dataset': '../datasets/PROTEINS_full_txt/PROTEINS_full_A_sparse.txt'}, # node symb/nsymb\n",
+    "#    {'name': 'AIDS', 'dataset': '../datasets/AIDS/AIDS_A.txt'}, # node symb/nsymb, edge symb\n",
+    "    {'name': 'NCI1', 'dataset': '../datasets/NCI1/NCI1.mat',\n",
+    "         'extra_params': {'am_sp_al_nl_el': [1, 1, 2, 0, -1]}}, # node symb\n",
+    "    {'name': 'NCI109', 'dataset': '../datasets/NCI109/NCI109.mat',\n",
+    "         'extra_params': {'am_sp_al_nl_el': [1, 1, 2, 0, -1]}}, # node symb\n",
+    "    #     {'name': 'NCI-HIV', 'dataset': '../datasets/NCI-HIV/AIDO99SD.sdf',\n",
+    "    #         'dataset_y': '../datasets/NCI-HIV/aids_conc_may04.txt',}, # node/edge symb\n",
+    "\n",
+    "    #     # not working below\n",
+    "    #     {'name': 'PTC_FM', 'dataset': '../datasets/PTC/Train/FM.ds',},\n",
+    "    #     {'name': 'PTC_FR', 'dataset': '../datasets/PTC/Train/FR.ds',},\n",
+    "    #     {'name': 'PTC_MM', 'dataset': '../datasets/PTC/Train/MM.ds',},\n",
+    "    #     {'name': 'PTC_MR', 'dataset': '../datasets/PTC/Train/MR.ds',},\n",
+    "]\n",
+    "estimator = weisfeilerlehmankernel\n",
+    "param_grid_precomputed = {'base_kernel': ['subtree'], \n",
+    "                          'height': np.linspace(0, 10, 11)}\n",
+    "param_grid = [{'C': np.logspace(-10, 4, num=29, base=10)},\n",
+    "              {'alpha': np.logspace(-10, 10, num=41, base=10)}]\n",
+    "\n",
+    "for ds in dslist:\n",
+    "    print()\n",
+    "    print(ds['name'])\n",
+    "    model_selection_for_precomputed_kernel(\n",
+    "        ds['dataset'],\n",
+    "        estimator,\n",
+    "        param_grid_precomputed,\n",
+    "        (param_grid[1] if ('task' in ds and ds['task']\n",
+    "                           == 'regression') else param_grid[0]),\n",
+    "        (ds['task'] if 'task' in ds else 'classification'),\n",
+    "        NUM_TRIALS=30,\n",
+    "        datafile_y=(ds['dataset_y'] if 'dataset_y' in ds else None),\n",
+    "        extra_params=(ds['extra_params'] if 'extra_params' in ds else None),\n",
+    "        ds_name=ds['name'],\n",
+    "        n_jobs=multiprocessing.cpu_count(),\n",
+    "        read_gm_from_file=False,\n",
+    "        verbose=True)\n",
+    "    print()"
+   ]
+  }
+ ],
+ "metadata": {
+  "kernelspec": {
+   "display_name": "Python 3",
+   "language": "python",
+   "name": "python3"
+  },
+  "language_info": {
+   "codemirror_mode": {
+    "name": "ipython",
+    "version": 3
+   },
+   "file_extension": ".py",
+   "mimetype": "text/x-python",
+   "name": "python",
+   "nbconvert_exporter": "python",
+   "pygments_lexer": "ipython3",
+   "version": "3.6.7"
+  }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 2
+}
diff --git a/notebooks/run_weisfeilerlehmankernel.py b/notebooks/run_weisfeilerlehmankernel.py
new file mode 100644
index 0000000..7b8d942
--- /dev/null
+++ b/notebooks/run_weisfeilerlehmankernel.py
@@ -0,0 +1,81 @@
+#!/usr/bin/env python3
+# -*- coding: utf-8 -*-
+"""
+Created on Mon Mar  21 11:19:33 2019
+
+@author: ljia
+"""
+
+from libs import *
+import multiprocessing
+
+from pygraph.kernels.weisfeilerLehmanKernel import weisfeilerlehmankernel
+from pygraph.utils.kernels import gaussiankernel, polynomialkernel
+
+
+dslist = [
+    {'name': 'Acyclic', 'dataset': '../datasets/acyclic/dataset_bps.ds',
+        'task': 'regression'},  # node symb
+    {'name': 'Alkane', 'dataset': '../datasets/Alkane/dataset.ds', 'task': 'regression',
+        'dataset_y': '../datasets/Alkane/dataset_boiling_point_names.txt'},  
+    # contains single node graph, node symb
+    {'name': 'MAO', 'dataset': '../datasets/MAO/dataset.ds'}, # node/edge symb
+    {'name': 'PAH', 'dataset': '../datasets/PAH/dataset.ds'}, # unlabeled
+    {'name': 'MUTAG', 'dataset': '../datasets/MUTAG/MUTAG_A.txt'}, # node/edge symb
+    {'name': 'Letter-med', 'dataset': '../datasets/Letter-med/Letter-med_A.txt'},
+    # node nsymb
+    {'name': 'ENZYMES', 'dataset': '../datasets/ENZYMES_txt/ENZYMES_A_sparse.txt'},
+    # node symb/nsymb
+#    {'name': 'Mutagenicity', 'dataset': '../datasets/Mutagenicity/Mutagenicity_A.txt'},
+#    # node/edge symb
+    {'name': 'D&D', 'dataset': '../datasets/DD/DD_A.txt'}, # node symb
+#
+    #     {'name': 'COIL-DEL', 'dataset': '../datasets/COIL-DEL/COIL-DEL_A.txt'}, # edge symb, node nsymb
+    # # #     {'name': 'BZR', 'dataset': '../datasets/BZR_txt/BZR_A_sparse.txt'}, # node symb/nsymb
+    # # #     {'name': 'COX2', 'dataset': '../datasets/COX2_txt/COX2_A_sparse.txt'}, # node symb/nsymb
+    #     {'name': 'Fingerprint', 'dataset': '../datasets/Fingerprint/Fingerprint_A.txt'},
+    #
+    # #     {'name': 'DHFR', 'dataset': '../datasets/DHFR_txt/DHFR_A_sparse.txt'}, # node symb/nsymb
+    # #     {'name': 'SYNTHETIC', 'dataset': '../datasets/SYNTHETIC_txt/SYNTHETIC_A_sparse.txt'}, # node symb/nsymb
+    # #     {'name': 'MSRC9', 'dataset': '../datasets/MSRC_9_txt/MSRC_9_A.txt'}, # node symb
+    # #     {'name': 'MSRC21', 'dataset': '../datasets/MSRC_21_txt/MSRC_21_A.txt'}, # node symb
+    # #     {'name': 'FIRSTMM_DB', 'dataset': '../datasets/FIRSTMM_DB/FIRSTMM_DB_A.txt'}, # node symb/nsymb ,edge nsymb
+
+    # #     {'name': 'PROTEINS', 'dataset': '../datasets/PROTEINS_txt/PROTEINS_A_sparse.txt'}, # node symb/nsymb
+    # #     {'name': 'PROTEINS_full', 'dataset': '../datasets/PROTEINS_full_txt/PROTEINS_full_A_sparse.txt'}, # node symb/nsymb
+#    {'name': 'AIDS', 'dataset': '../datasets/AIDS/AIDS_A.txt'}, # node symb/nsymb, edge symb
+    {'name': 'NCI1', 'dataset': '../datasets/NCI1/NCI1_A.txt'}, # node symb
+    {'name': 'NCI109', 'dataset': '../datasets/NCI109/NCI109_A.txt'}, # node symb
+    #     {'name': 'NCI-HIV', 'dataset': '../datasets/NCI-HIV/AIDO99SD.sdf',
+    #         'dataset_y': '../datasets/NCI-HIV/aids_conc_may04.txt',}, # node/edge symb
+
+    #     # not working below
+    #     {'name': 'PTC_FM', 'dataset': '../datasets/PTC/Train/FM.ds',},
+    #     {'name': 'PTC_FR', 'dataset': '../datasets/PTC/Train/FR.ds',},
+    #     {'name': 'PTC_MM', 'dataset': '../datasets/PTC/Train/MM.ds',},
+    #     {'name': 'PTC_MR', 'dataset': '../datasets/PTC/Train/MR.ds',},
+]
+estimator = weisfeilerlehmankernel
+param_grid_precomputed = {'base_kernel': ['subtree'], 
+                          'height': np.linspace(0, 10, 11)}
+param_grid = [{'C': np.logspace(-10, 4, num=29, base=10)},
+              {'alpha': np.logspace(-10, 10, num=41, base=10)}]
+
+for ds in dslist:
+    print()
+    print(ds['name'])
+    model_selection_for_precomputed_kernel(
+        ds['dataset'],
+        estimator,
+        param_grid_precomputed,
+        (param_grid[1] if ('task' in ds and ds['task']
+                           == 'regression') else param_grid[0]),
+        (ds['task'] if 'task' in ds else 'classification'),
+        NUM_TRIALS=30,
+        datafile_y=(ds['dataset_y'] if 'dataset_y' in ds else None),
+        extra_params=(ds['extra_params'] if 'extra_params' in ds else None),
+        ds_name=ds['name'],
+        n_jobs=multiprocessing.cpu_count(),
+        read_gm_from_file=False,
+        verbose=True)
+    print()
\ No newline at end of file
diff --git a/preimage/iam.py b/preimage/iam.py
index 646dc6a..8eddda9 100644
--- a/preimage/iam.py
+++ b/preimage/iam.py
@@ -16,7 +16,7 @@ import librariesImport, script
 sys.path.insert(0, "../")
 from pygraph.utils.graphfiles import saveDataset
 from pygraph.utils.graphdataset import get_dataset_attributes
-from pygraph.utils.utils import graph_isIdentical
+from pygraph.utils.utils import graph_isIdentical, get_node_labels, get_edge_labels
 #from pygraph.utils.utils import graph_deepcopy
 
 
@@ -158,9 +158,9 @@ def GED(g1, g2, lib='gedlib'):
         script.PyRestartEnv()
         script.PyLoadGXLGraph('ged_tmp/', 'ged_tmp/tmp.xml')
         listID = script.PyGetGraphIds()
-        script.PySetEditCost("CHEM_2")
+        script.PySetEditCost("CHEM_1")
         script.PyInitEnv()
-        script.PySetMethod("BIPARTITE", "")
+        script.PySetMethod("IPFP", "")
         script.PyInitMethod()
         g = listID[0]
         h = listID[1]
@@ -173,20 +173,6 @@ def GED(g1, g2, lib='gedlib'):
     return dis, pi_forward, pi_backward
 
 
-def get_node_labels(Gn, node_label):
-    nl = set()
-    for G in Gn:
-        nl = nl | set(nx.get_node_attributes(G, node_label).values())
-    return nl
-
-
-def get_edge_labels(Gn, edge_label):
-    el = set()
-    for G in Gn:
-        el = el | set(nx.get_edge_attributes(G, edge_label).values())
-    return el
-
-
 # --------------------------- These are tests --------------------------------#
     
 def test_iam_with_more_graphs_as_init(Gn, G_candidate, c_ei=3, c_er=3, c_es=1, 
diff --git a/pygraph/kernels/marginalizedKernel.py b/pygraph/kernels/marginalizedKernel.py
index a00850a..53b8517 100644
--- a/pygraph/kernels/marginalizedKernel.py
+++ b/pygraph/kernels/marginalizedKernel.py
@@ -65,6 +65,7 @@ def marginalizedkernel(*args,
     # pre-process
     n_iteration = int(n_iteration)
     Gn = args[0][:] if len(args) == 1 else [args[0].copy(), args[1].copy()]
+    Gn = [g.copy() for g in Gn]
     
     ds_attrs = get_dataset_attributes(
         Gn,
@@ -215,37 +216,37 @@ def _marginalizedkernel_do(g1, g2, node_label, edge_label, p_quit, n_iteration):
     
     R_inf = {} # dict to save all the R_inf for all pairs of nodes
     # initial R_inf, the 1st iteration.
-    for node1 in g1.nodes(data=True):
-        for node2 in g2.nodes(data=True):
+    for node1 in g1.nodes():
+        for node2 in g2.nodes():
 #            R_inf[(node1[0], node2[0])] = r1
-            if len(g1[node1[0]]) > 0:
-                if len(g2[node2[0]]) > 0:
-                    R_inf[(node1[0], node2[0])] = r1
+            if len(g1[node1]) > 0:
+                if len(g2[node2]) > 0:
+                    R_inf[(node1, node2)] = r1
                 else:
-                    R_inf[(node1[0], node2[0])] = p_quit
+                    R_inf[(node1, node2)] = p_quit
             else:
-                if len(g2[node2[0]]) > 0:
-                    R_inf[(node1[0], node2[0])] = p_quit
+                if len(g2[node2]) > 0:
+                    R_inf[(node1, node2)] = p_quit
                 else:
-                    R_inf[(node1[0], node2[0])] = 1
+                    R_inf[(node1, node2)] = 1
             
     # compute all transition probability first.
     t_dict = {}
     if n_iteration > 1:
-        for node1 in g1.nodes(data=True):
-            neighbor_n1 = g1[node1[0]]
+        for node1 in g1.nodes():
+            neighbor_n1 = g1[node1]
             # the transition probability distribution in the random walks
             # generating step (uniform distribution over the vertices adjacent
             # to the current vertex)
             if len(neighbor_n1) > 0:
                 p_trans_n1 = (1 - p_quit) / len(neighbor_n1)
-                for node2 in g2.nodes(data=True):
-                    neighbor_n2 = g2[node2[0]]
+                for node2 in g2.nodes():
+                    neighbor_n2 = g2[node2]
                     if len(neighbor_n2) > 0:
                         p_trans_n2 = (1 - p_quit) / len(neighbor_n2)
                         for neighbor1 in neighbor_n1:
                             for neighbor2 in neighbor_n2:
-                                t_dict[(node1[0], node2[0], neighbor1, neighbor2)] = \
+                                t_dict[(node1, node2, neighbor1, neighbor2)] = \
                                     p_trans_n1 * p_trans_n2 * \
                                     deltakernel(g1.node[neighbor1][node_label],
                                                 g2.node[neighbor2][node_label]) * \
@@ -258,20 +259,20 @@ def _marginalizedkernel_do(g1, g2, node_label, edge_label, p_quit, n_iteration):
         R_inf_old = R_inf.copy()
 
         # calculate R_inf for each pair of nodes
-        for node1 in g1.nodes(data=True):
-            neighbor_n1 = g1[node1[0]]
+        for node1 in g1.nodes():
+            neighbor_n1 = g1[node1]
             # the transition probability distribution in the random walks
             # generating step (uniform distribution over the vertices adjacent
             # to the current vertex)
             if len(neighbor_n1) > 0:
-                for node2 in g2.nodes(data=True):
-                    neighbor_n2 = g2[node2[0]]
+                for node2 in g2.nodes():
+                    neighbor_n2 = g2[node2]
                     if len(neighbor_n2) > 0:   
-                        R_inf[(node1[0], node2[0])] = r1
+                        R_inf[(node1, node2)] = r1
                         for neighbor1 in neighbor_n1:
                             for neighbor2 in neighbor_n2:
-                                R_inf[(node1[0], node2[0])] += \
-                                    (t_dict[(node1[0], node2[0], neighbor1, neighbor2)] * \
+                                R_inf[(node1, node2)] += \
+                                    (t_dict[(node1, node2, neighbor1, neighbor2)] * \
                                     R_inf_old[(neighbor1, neighbor2)])  # ref [1] equation (8)
 
     # add elements of R_inf up and calculate kernel
diff --git a/pygraph/kernels/randomWalkKernel.py b/pygraph/kernels/randomWalkKernel.py
index 9424994..4540e3c 100644
--- a/pygraph/kernels/randomWalkKernel.py
+++ b/pygraph/kernels/randomWalkKernel.py
@@ -58,6 +58,7 @@ def randomwalkkernel(*args,
     """
     compute_method = compute_method.lower()
     Gn = args[0] if len(args) == 1 else [args[0], args[1]]
+    Gn = [g.copy() for g in Gn]
 
     eweight = None
     if edge_weight == None:
diff --git a/pygraph/kernels/spKernel.py b/pygraph/kernels/spKernel.py
index 34724e2..d9a7397 100644
--- a/pygraph/kernels/spKernel.py
+++ b/pygraph/kernels/spKernel.py
@@ -54,6 +54,7 @@ def spkernel(*args,
     """
     # pre-process
     Gn = args[0] if len(args) == 1 else [args[0], args[1]]
+    Gn = [g.copy() for g in Gn]
     weight = None
     if edge_weight is None:
         if verbose:
diff --git a/pygraph/kernels/structuralspKernel.py b/pygraph/kernels/structuralspKernel.py
index 574b524..2661f24 100644
--- a/pygraph/kernels/structuralspKernel.py
+++ b/pygraph/kernels/structuralspKernel.py
@@ -74,6 +74,7 @@ def structuralspkernel(*args,
     """
     # pre-process
     Gn = args[0] if len(args) == 1 else [args[0], args[1]]
+    Gn = [g.copy() for g in Gn]
     weight = None
     if edge_weight is None:
         if verbose:
diff --git a/pygraph/kernels/treeletKernel.py b/pygraph/kernels/treeletKernel.py
index 799d2d9..738c4fd 100644
--- a/pygraph/kernels/treeletKernel.py
+++ b/pygraph/kernels/treeletKernel.py
@@ -1,6 +1,8 @@
 """
 @author: linlin
-@references: Gaüzère B, Brun L, Villemin D. Two new graphs kernels in chemoinformatics. Pattern Recognition Letters. 2012 Nov 1;33(15):2038-47.
+@references: 
+    [1] Gaüzère B, Brun L, Villemin D. Two new graphs kernels in 
+    chemoinformatics. Pattern Recognition Letters. 2012 Nov 1;33(15):2038-47.
 """
 
 import sys
@@ -50,6 +52,7 @@ def treeletkernel(*args,
     """
     # pre-process
     Gn = args[0] if len(args) == 1 else [args[0], args[1]]
+    Gn = [g.copy() for g in Gn]
     Kmatrix = np.zeros((len(Gn), len(Gn)))
     ds_attrs = get_dataset_attributes(Gn,
         attr_names=['node_labeled', 'edge_labeled', 'is_directed'],
@@ -76,13 +79,13 @@ def treeletkernel(*args,
     else:
         chunksize = 100
     canonkeys = [[] for _ in range(len(Gn))]
-    getps_partial = partial(wrapper_get_canonkeys, node_label, edge_label, 
+    get_partial = partial(wrapper_get_canonkeys, node_label, edge_label, 
                             labeled, ds_attrs['is_directed'])
     if verbose:
-        iterator = tqdm(pool.imap_unordered(getps_partial, itr, chunksize),
+        iterator = tqdm(pool.imap_unordered(get_partial, itr, chunksize),
                         desc='getting canonkeys', file=sys.stdout)
     else:
-        iterator = pool.imap_unordered(getps_partial, itr, chunksize)
+        iterator = pool.imap_unordered(get_partial, itr, chunksize)
     for i, ck in iterator:
         canonkeys[i] = ck
     pool.close()
diff --git a/pygraph/kernels/unfinished/treeletKernel.py b/pygraph/kernels/unfinished/treeletKernel.py
deleted file mode 100644
index d364cc3..0000000
--- a/pygraph/kernels/unfinished/treeletKernel.py
+++ /dev/null
@@ -1,382 +0,0 @@
-"""
-@author: linlin
-@references: Gaüzère B, Brun L, Villemin D. Two new graphs kernels in chemoinformatics. Pattern Recognition Letters. 2012 Nov 1;33(15):2038-47.
-"""
-
-import sys
-import pathlib
-sys.path.insert(0, "../")
-import time
-
-from collections import Counter
-from itertools import chain
-
-import networkx as nx
-import numpy as np
-
-
-def treeletkernel(*args, node_label = 'atom', edge_label = 'bond_type', labeled = True):
-    """Calculate treelet graph kernels between graphs.
-
-    Parameters
-    ----------
-    Gn : List of NetworkX graph
-        List of graphs between which the kernels are calculated.
-    /
-    G1, G2 : NetworkX graphs
-        2 graphs between which the kernel is calculated.
-    node_label : string
-        node attribute used as label. The default node label is atom.        
-    edge_label : string
-        edge attribute used as label. The default edge label is bond_type.
-    labeled : boolean
-        Whether the graphs are labeled. The default is True.
-
-    Return
-    ------
-    Kmatrix/kernel : Numpy matrix/float
-        Kernel matrix, each element of which is the treelet kernel between 2 praphs. / Treelet kernel between 2 graphs.
-    """
-    if len(args) == 1: # for a list of graphs
-        Gn = args[0]
-        Kmatrix = np.zeros((len(Gn), len(Gn)))
-
-        start_time = time.time()
-
-        # get all canonical keys of all graphs before calculating kernels to save time, but this may cost a lot of memory for large dataset.
-        canonkeys = [ get_canonkeys(Gn[i], node_label = node_label, edge_label = edge_label, labeled = labeled) \
-           for i in range(0, len(Gn)) ]
-
-        for i in range(0, len(Gn)):
-            for j in range(i, len(Gn)):
-                Kmatrix[i][j] = _treeletkernel_do(canonkeys[i], canonkeys[j], node_label = node_label, edge_label = edge_label, labeled = labeled)
-                Kmatrix[j][i] = Kmatrix[i][j]
-
-        run_time = time.time() - start_time
-        print("\n --- treelet kernel matrix of size %d built in %s seconds ---" % (len(Gn), run_time))
-
-        return Kmatrix, run_time
-    
-    else: # for only 2 graphs
-        
-        start_time = time.time()
-                          
-        canonkey1 = get_canonkeys(args[0], node_label = node_label, edge_label = edge_label, labeled = labeled)
-        canonkey2 = get_canonkeys(args[1], node_label = node_label, edge_label = edge_label, labeled = labeled)
-        
-        kernel = _treeletkernel_do(canonkey1, canonkey2, node_label = node_label, edge_label = edge_label, labeled = labeled)
-        
-        run_time = time.time() - start_time
-        print("\n --- treelet kernel built in %s seconds ---" % (run_time))
-
-        return kernel, run_time
-
-
-def _treeletkernel_do(canonkey1, canonkey2, node_label = 'atom', edge_label = 'bond_type', labeled = True):
-    """Calculate treelet graph kernel between 2 graphs.
-    
-    Parameters
-    ----------
-    canonkey1, canonkey2 : list
-        List of canonical keys in 2 graphs, where each key is represented by a string.
-    node_label : string
-        Node attribute used as label. The default node label is atom.        
-    edge_label : string
-        Edge attribute used as label. The default edge label is bond_type.
-    labeled : boolean
-        Whether the graphs are labeled. The default is True.
-        
-    Return
-    ------
-    kernel : float
-        Treelet Kernel between 2 graphs.
-    """
-    keys = set(canonkey1.keys()) & set(canonkey2.keys()) # find same canonical keys in both graphs
-    vector1 = np.array([ (canonkey1[key] if (key in canonkey1.keys()) else 0) for key in keys ])
-    vector2 = np.array([ (canonkey2[key] if (key in canonkey2.keys()) else 0) for key in keys ])        
-    kernel = np.sum(np.exp(- np.square(vector1 - vector2) / 2))
-
-    return kernel
-
-
-def get_canonkeys(G, node_label = 'atom', edge_label = 'bond_type', labeled = True):
-    """Generate canonical keys of all treelets in a graph.
-    
-    Parameters
-    ----------
-    G : NetworkX graphs
-        The graph in which keys are generated.
-    node_label : string
-        node attribute used as label. The default node label is atom.        
-    edge_label : string
-        edge attribute used as label. The default edge label is bond_type.
-    labeled : boolean
-        Whether the graphs are labeled. The default is True.
-        
-    Return
-    ------
-    canonkey/canonkey_l : dict
-        For unlabeled graphs, canonkey is a dictionary which records amount of every tree pattern. For labeled graphs, canonkey_l is one which keeps track of amount of every treelet.
-    """
-    patterns = {} # a dictionary which consists of lists of patterns for all graphlet.
-    canonkey = {} # canonical key, a dictionary which records amount of every tree pattern.
-
-    ### structural analysis ###
-    ### In this section, a list of patterns is generated for each graphlet, where every pattern is represented by nodes ordered by 
-    ### Morgan's extended labeling.
-    # linear patterns
-    patterns['0'] = G.nodes()
-    canonkey['0'] = nx.number_of_nodes(G)
-    for i in range(1, 6): # for i in range(1, 6):
-        patterns[str(i)] = find_all_paths(G, i)
-        canonkey[str(i)] = len(patterns[str(i)])
-
-    # n-star patterns
-    patterns['3star'] = [ [node] + [neighbor for neighbor in G[node]] for node in G.nodes() if G.degree(node) == 3 ]
-    patterns['4star'] = [ [node] + [neighbor for neighbor in G[node]] for node in G.nodes() if G.degree(node) == 4 ]
-    patterns['5star'] = [ [node] + [neighbor for neighbor in G[node]] for node in G.nodes() if G.degree(node) == 5 ]        
-    # n-star patterns
-    canonkey['6'] = len(patterns['3star'])
-    canonkey['8'] = len(patterns['4star'])
-    canonkey['d'] = len(patterns['5star'])
-
-    # pattern 7
-    patterns['7'] = [] # the 1st line of Table 1 in Ref [1]
-    for pattern in patterns['3star']:
-        for i in range(1, len(pattern)): # for each neighbor of node 0
-            if G.degree(pattern[i]) >= 2:
-                pattern_t = pattern[:]
-                pattern_t[i], pattern_t[3] = pattern_t[3], pattern_t[i] # set the node with degree >= 2 as the 4th node
-                for neighborx in G[pattern[i]]:
-                    if neighborx != pattern[0]:
-                        new_pattern = pattern_t + [ neighborx ]
-                        patterns['7'].append(new_pattern)
-    canonkey['7'] = len(patterns['7'])
-
-    # pattern 11
-    patterns['11'] = [] # the 4th line of Table 1 in Ref [1]
-    for pattern in patterns['4star']:
-        for i in range(1, len(pattern)):
-            if G.degree(pattern[i]) >= 2:
-                pattern_t = pattern[:]
-                pattern_t[i], pattern_t[4] = pattern_t[4], pattern_t[i]
-                for neighborx in G[pattern[i]]:
-                    if neighborx != pattern[0]:
-                        new_pattern = pattern_t + [ neighborx ]
-                        patterns['11'].append(new_pattern)
-    canonkey['b'] = len(patterns['11'])
-
-    # pattern 12
-    patterns['12'] = [] # the 5th line of Table 1 in Ref [1]
-    rootlist = [] # a list of root nodes, whose extended labels are 3
-    for pattern in patterns['3star']:
-        if pattern[0] not in rootlist: # prevent to count the same pattern twice from each of the two root nodes
-            rootlist.append(pattern[0])
-            for i in range(1, len(pattern)):
-                if G.degree(pattern[i]) >= 3:
-                    rootlist.append(pattern[i])
-                    pattern_t = pattern[:]
-                    pattern_t[i], pattern_t[3] = pattern_t[3], pattern_t[i]
-                    for neighborx1 in G[pattern[i]]:
-                        if neighborx1 != pattern[0]:
-                            for neighborx2 in G[pattern[i]]:
-                                if neighborx1 > neighborx2 and neighborx2 != pattern[0]:
-                                    new_pattern = pattern_t + [neighborx1] + [neighborx2]
-#                         new_patterns = [ pattern + [neighborx1] + [neighborx2] for neighborx1 in G[pattern[i]] if neighborx1 != pattern[0] for neighborx2 in G[pattern[i]] if (neighborx1 > neighborx2 and neighborx2 != pattern[0]) ]
-                                    patterns['12'].append(new_pattern)
-    canonkey['c'] = int(len(patterns['12']) / 2)
-
-    # pattern 9
-    patterns['9'] = [] # the 2nd line of Table 1 in Ref [1]
-    for pattern in patterns['3star']:
-        for pairs in [ [neighbor1, neighbor2] for neighbor1 in G[pattern[0]] if G.degree(neighbor1) >= 2 \
-            for neighbor2 in G[pattern[0]] if G.degree(neighbor2) >= 2 if neighbor1 > neighbor2 ]:
-            pattern_t = pattern[:]
-            # move nodes with extended labels 4 to specific position to correspond to their children
-            pattern_t[pattern_t.index(pairs[0])], pattern_t[2] = pattern_t[2], pattern_t[pattern_t.index(pairs[0])]
-            pattern_t[pattern_t.index(pairs[1])], pattern_t[3] = pattern_t[3], pattern_t[pattern_t.index(pairs[1])]
-            for neighborx1 in G[pairs[0]]:
-                if neighborx1 != pattern[0]:
-                    for neighborx2 in G[pairs[1]]:
-                        if neighborx2 != pattern[0]:
-                            new_pattern = pattern_t + [neighborx1] + [neighborx2]
-                            patterns['9'].append(new_pattern)
-    canonkey['9'] = len(patterns['9'])
-
-    # pattern 10
-    patterns['10'] = [] # the 3rd line of Table 1 in Ref [1]
-    for pattern in patterns['3star']:        
-        for i in range(1, len(pattern)):
-            if G.degree(pattern[i]) >= 2:
-                for neighborx in G[pattern[i]]:
-                    if neighborx != pattern[0] and G.degree(neighborx) >= 2:
-                        pattern_t = pattern[:]
-                        pattern_t[i], pattern_t[3] = pattern_t[3], pattern_t[i]
-                        new_patterns = [ pattern_t + [neighborx] + [neighborxx] for neighborxx in G[neighborx] if neighborxx != pattern[i] ]
-                        patterns['10'].extend(new_patterns)
-    canonkey['a'] = len(patterns['10'])
-
-    ### labeling information ###
-    ### In this section, a list of canonical keys is generated for every pattern obtained in the structural analysis
-    ### section above, which is a string corresponding to a unique treelet. A dictionary is built to keep track of 
-    ### the amount of every treelet.
-    if labeled == True:
-        canonkey_l = {} # canonical key, a dictionary which keeps track of amount of every treelet.
-
-        # linear patterns
-        canonkey_t = Counter(list(nx.get_node_attributes(G, node_label).values()))
-        for key in canonkey_t:
-            canonkey_l['0' + key] = canonkey_t[key]
-
-        for i in range(1, 6): # for i in range(1, 6):
-            treelet = []
-            for pattern in patterns[str(i)]:
-                canonlist = list(chain.from_iterable((G.node[node][node_label], \
-                    G[node][pattern[idx+1]][edge_label]) for idx, node in enumerate(pattern[:-1])))
-                canonlist.append(G.node[pattern[-1]][node_label])
-                canonkey_t = ''.join(canonlist)
-                canonkey_t = canonkey_t if canonkey_t < canonkey_t[::-1] else canonkey_t[::-1]
-                treelet.append(str(i) + canonkey_t)
-            canonkey_l.update(Counter(treelet))
-
-        # n-star patterns
-        for i in range(3, 6):
-            treelet = []
-            for pattern in patterns[str(i) + 'star']:
-                canonlist = [ G.node[leaf][node_label] + G[leaf][pattern[0]][edge_label] for leaf in pattern[1:] ]
-                canonlist.sort()
-                canonkey_t = ('d' if i == 5 else str(i * 2)) + G.node[pattern[0]][node_label] + ''.join(canonlist)
-                treelet.append(canonkey_t)
-            canonkey_l.update(Counter(treelet))
-
-        # pattern 7
-        treelet = []
-        for pattern in patterns['7']:
-            canonlist = [ G.node[leaf][node_label] + G[leaf][pattern[0]][edge_label] for leaf in pattern[1:3] ]
-            canonlist.sort()
-            canonkey_t = '7' + G.node[pattern[0]][node_label] + ''.join(canonlist) \
-                + G.node[pattern[3]][node_label] + G[pattern[3]][pattern[0]][edge_label] \
-                 + G.node[pattern[4]][node_label] + G[pattern[4]][pattern[3]][edge_label]
-            treelet.append(canonkey_t)
-        canonkey_l.update(Counter(treelet))
-
-        # pattern 11
-        treelet = []
-        for pattern in patterns['11']:
-            canonlist = [ G.node[leaf][node_label] + G[leaf][pattern[0]][edge_label] for leaf in pattern[1:4] ]
-            canonlist.sort()
-            canonkey_t = 'b' + G.node[pattern[0]][node_label] + ''.join(canonlist) \
-                + G.node[pattern[4]][node_label] + G[pattern[4]][pattern[0]][edge_label] \
-                 + G.node[pattern[5]][node_label] + G[pattern[5]][pattern[4]][edge_label]
-            treelet.append(canonkey_t)
-        canonkey_l.update(Counter(treelet))
-
-        # pattern 10
-        treelet = []
-        for pattern in patterns['10']:
-            canonkey4 = G.node[pattern[5]][node_label] + G[pattern[5]][pattern[4]][edge_label]
-            canonlist = [ G.node[leaf][node_label] + G[leaf][pattern[0]][edge_label] for leaf in pattern[1:3] ]
-            canonlist.sort()
-            canonkey0 = ''.join(canonlist)
-            canonkey_t = 'a' + G.node[pattern[3]][node_label] \
-                + G.node[pattern[4]][node_label] + G[pattern[4]][pattern[3]][edge_label] \
-                + G.node[pattern[0]][node_label] + G[pattern[0]][pattern[3]][edge_label] \
-                + canonkey4 + canonkey0
-            treelet.append(canonkey_t)
-        canonkey_l.update(Counter(treelet))
-
-        # pattern 12
-        treelet = []
-        for pattern in patterns['12']:
-            canonlist0 = [ G.node[leaf][node_label] + G[leaf][pattern[0]][edge_label] for leaf in pattern[1:3] ]
-            canonlist0.sort()
-            canonlist3 = [ G.node[leaf][node_label] + G[leaf][pattern[3]][edge_label] for leaf in pattern[4:6] ]
-            canonlist3.sort()
-            
-            # 2 possible key can be generated from 2 nodes with extended label 3, select the one with lower lexicographic order.
-            canonkey_t1 = 'c' + G.node[pattern[0]][node_label] \
-                + ''.join(canonlist0) \
-                + G.node[pattern[3]][node_label] + G[pattern[3]][pattern[0]][edge_label] \
-                + ''.join(canonlist3)
-
-            canonkey_t2 = 'c' + G.node[pattern[3]][node_label] \
-                + ''.join(canonlist3) \
-                + G.node[pattern[0]][node_label] + G[pattern[0]][pattern[3]][edge_label] \
-                + ''.join(canonlist0)
-
-            treelet.append(canonkey_t1 if canonkey_t1 < canonkey_t2 else canonkey_t2)
-        canonkey_l.update(Counter(treelet))
-
-        # pattern 9
-        treelet = []
-        for pattern in patterns['9']:
-            canonkey2 = G.node[pattern[4]][node_label] + G[pattern[4]][pattern[2]][edge_label]
-            canonkey3 = G.node[pattern[5]][node_label] + G[pattern[5]][pattern[3]][edge_label]
-            prekey2 = G.node[pattern[2]][node_label] + G[pattern[2]][pattern[0]][edge_label]
-            prekey3 = G.node[pattern[3]][node_label] + G[pattern[3]][pattern[0]][edge_label]
-            if prekey2 + canonkey2 < prekey3 + canonkey3:
-                canonkey_t = G.node[pattern[1]][node_label] + G[pattern[1]][pattern[0]][edge_label] \
-                    + prekey2 + prekey3 + canonkey2 + canonkey3
-            else:
-                canonkey_t = G.node[pattern[1]][node_label] + G[pattern[1]][pattern[0]][edge_label] \
-                    + prekey3 + prekey2 + canonkey3 + canonkey2
-            treelet.append('9' + G.node[pattern[0]][node_label] + canonkey_t)
-        canonkey_l.update(Counter(treelet))
-
-        return canonkey_l
-
-    return canonkey
-    
-
-def find_paths(G, source_node, length):
-    """Find all paths with a certain length those start from a source node. A recursive depth first search is applied.
-    
-    Parameters
-    ----------
-    G : NetworkX graphs
-        The graph in which paths are searched.
-    source_node : integer
-        The number of the node from where all paths start.
-    length : integer
-        The length of paths.
-        
-    Return
-    ------
-    path : list of list
-        List of paths retrieved, where each path is represented by a list of nodes.
-    """
-    if length == 0:
-        return [[source_node]]
-    path = [ [source_node] + path for neighbor in G[source_node] \
-        for path in find_paths(G, neighbor, length - 1) if source_node not in path ]
-    return path
-
-
-def find_all_paths(G, length):
-    """Find all paths with a certain length in a graph. A recursive depth first search is applied.
-    
-    Parameters
-    ----------
-    G : NetworkX graphs
-        The graph in which paths are searched.
-    length : integer
-        The length of paths.
-        
-    Return
-    ------
-    path : list of list
-        List of paths retrieved, where each path is represented by a list of nodes.
-    """
-    all_paths = []
-    for node in G:
-        all_paths.extend(find_paths(G, node, length))
-    all_paths_r = [ path[::-1] for path in all_paths ]
-    
-    # For each path, two presentation are retrieved from its two extremities. Remove one of them.
-    for idx, path in enumerate(all_paths[:-1]):
-        for path2 in all_paths_r[idx+1::]:
-            if path == path2:
-                all_paths[idx] = []
-                break
-            
-    return list(filter(lambda a: a != [], all_paths))
diff --git a/pygraph/kernels/untilHPathKernel.py b/pygraph/kernels/untilHPathKernel.py
index 3b10d05..abc2273 100644
--- a/pygraph/kernels/untilHPathKernel.py
+++ b/pygraph/kernels/untilHPathKernel.py
@@ -60,6 +60,7 @@ def untilhpathkernel(*args,
     # pre-process
     depth = int(depth)
     Gn = args[0] if len(args) == 1 else [args[0], args[1]]
+    Gn = [g.copy() for g in Gn]
     Kmatrix = np.zeros((len(Gn), len(Gn)))
     ds_attrs = get_dataset_attributes(
         Gn,
diff --git a/pygraph/kernels/weisfeilerLehmanKernel.py b/pygraph/kernels/weisfeilerLehmanKernel.py
new file mode 100644
index 0000000..fe15113
--- /dev/null
+++ b/pygraph/kernels/weisfeilerLehmanKernel.py
@@ -0,0 +1,549 @@
+"""
+@author: linlin
+@references:
+    [1] Shervashidze N, Schweitzer P, Leeuwen EJ, Mehlhorn K, Borgwardt KM. 
+    Weisfeiler-lehman graph kernels. Journal of Machine Learning Research. 
+    2011;12(Sep):2539-61.
+"""
+
+import sys
+from collections import Counter
+sys.path.insert(0, "../")
+from functools import partial
+import time
+#from multiprocessing import Pool
+from tqdm import tqdm
+
+import networkx as nx
+import numpy as np
+
+#from pygraph.kernels.pathKernel import pathkernel
+from pygraph.utils.graphdataset import get_dataset_attributes
+from pygraph.utils.parallel import parallel_gm
+
+# @todo: support edge kernel, sp kernel, user-defined kernel.
+def weisfeilerlehmankernel(*args, 
+                           node_label='atom',
+                           edge_label='bond_type',
+                           height=0,
+                           base_kernel='subtree',
+                           parallel=None,
+                           n_jobs=None, 
+                           verbose=True):
+    """Calculate Weisfeiler-Lehman kernels between graphs.
+    
+    Parameters
+    ----------
+    Gn : List of NetworkX graph
+        List of graphs between which the kernels are calculated.
+    /
+    G1, G2 : NetworkX graphs
+        2 graphs between which the kernel is calculated.        
+    node_label : string
+        node attribute used as label. The default node label is atom.        
+    edge_label : string
+        edge attribute used as label. The default edge label is bond_type.        
+    height : int
+        subtree height
+    base_kernel : string
+        base kernel used in each iteration of WL kernel. The default base kernel is subtree kernel. For user-defined kernel, base_kernel is the name of the base kernel function used in each iteration of WL kernel. This function returns a Numpy matrix, each element of which is the user-defined Weisfeiler-Lehman kernel between 2 praphs.
+
+    Return
+    ------
+    Kmatrix : Numpy matrix
+        Kernel matrix, each element of which is the Weisfeiler-Lehman kernel between 2 praphs.
+
+    Notes
+    -----
+    This function now supports WL subtree kernel only.
+    """
+    # pre-process
+    base_kernel = base_kernel.lower()
+    Gn = args[0] if len(args) == 1 else [args[0], args[1]] # arrange all graphs in a list
+    Gn = [g.copy() for g in Gn]
+    ds_attrs = get_dataset_attributes(Gn, attr_names=['node_labeled'], 
+                                      node_label=node_label)
+    if not ds_attrs['node_labeled']:
+        for G in Gn:
+            nx.set_node_attributes(G, '0', 'atom')
+
+    start_time = time.time()
+
+    # for WL subtree kernel
+    if base_kernel == 'subtree':           
+        Kmatrix = _wl_kernel_do(Gn, node_label, edge_label, height, parallel, n_jobs, verbose)
+
+    # for WL shortest path kernel
+    elif base_kernel == 'sp':
+        Kmatrix = _wl_spkernel_do(Gn, node_label, edge_label, height)
+
+    # for WL edge kernel
+    elif base_kernel == 'edge':
+        Kmatrix = _wl_edgekernel_do(Gn, node_label, edge_label, height)
+
+    # for user defined base kernel
+    else:
+        Kmatrix = _wl_userkernel_do(Gn, node_label, edge_label, height, base_kernel)
+
+    run_time = time.time() - start_time
+    if verbose:
+        print("\n --- Weisfeiler-Lehman %s kernel matrix of size %d built in %s seconds ---" 
+              % (base_kernel, len(args[0]), run_time))
+
+    return Kmatrix, run_time
+
+
+def _wl_kernel_do(Gn, node_label, edge_label, height, parallel, n_jobs, verbose):
+    """Calculate Weisfeiler-Lehman kernels between graphs.
+
+    Parameters
+    ----------
+    Gn : List of NetworkX graph
+        List of graphs between which the kernels are calculated.       
+    node_label : string
+        node attribute used as label.
+    edge_label : string
+        edge attribute used as label.      
+    height : int
+        wl height.
+
+    Return
+    ------
+    Kmatrix : Numpy matrix
+        Kernel matrix, each element of which is the Weisfeiler-Lehman kernel between 2 praphs.
+    """
+    height = int(height)
+    Kmatrix = np.zeros((len(Gn), len(Gn)))
+
+    # initial for height = 0
+    all_num_of_each_label = [] # number of occurence of each label in each graph in this iteration
+
+    # for each graph
+    for G in Gn:
+        # get the set of original labels
+        labels_ori = list(nx.get_node_attributes(G, node_label).values())
+        # number of occurence of each label in G
+        all_num_of_each_label.append(dict(Counter(labels_ori)))
+
+    # calculate subtree kernel with the 0th iteration and add it to the final kernel
+    compute_kernel_matrix(Kmatrix, all_num_of_each_label, Gn, parallel, n_jobs, False)
+
+    # iterate each height
+    for h in range(1, height + 1):
+        all_set_compressed = {} # a dictionary mapping original labels to new ones in all graphs in this iteration
+        num_of_labels_occured = 0 # number of the set of letters that occur before as node labels at least once in all graphs
+#        all_labels_ori = set() # all unique orignal labels in all graphs in this iteration
+        all_num_of_each_label = [] # number of occurence of each label in G
+
+#        # for each graph
+#        # ---- use pool.imap_unordered to parallel and track progress. ----
+#        pool = Pool(n_jobs)
+#        itr = zip(Gn, range(0, len(Gn)))
+#        if len(Gn) < 100 * n_jobs:
+#            chunksize = int(len(Gn) / n_jobs) + 1
+#        else:
+#            chunksize = 100
+#        all_multisets_list = [[] for _ in range(len(Gn))]
+##        set_unique_list = [[] for _ in range(len(Gn))]
+#        get_partial = partial(wrapper_wl_iteration, node_label)
+##        if verbose:
+##            iterator = tqdm(pool.imap_unordered(get_partial, itr, chunksize),
+##                            desc='wl iteration', file=sys.stdout)
+##        else:
+#        iterator = pool.imap_unordered(get_partial, itr, chunksize)
+#        for i, all_multisets in iterator:
+#            all_multisets_list[i] = all_multisets
+##            set_unique_list[i] = set_unique
+##            all_set_unique = all_set_unique | set(set_unique)
+#        pool.close()
+#        pool.join()
+        
+#        all_set_unique = set()
+#        for uset in all_multisets_list:
+#            all_set_unique = all_set_unique | set(uset)
+#            
+#        all_set_unique = list(all_set_unique)
+##        # a dictionary mapping original labels to new ones. 
+##        set_compressed = {}
+##        for idx, uset in enumerate(all_set_unique):
+##            set_compressed.update({uset: idx})
+#            
+#        for ig, G in enumerate(Gn):
+#
+##            # a dictionary mapping original labels to new ones. 
+##            set_compressed = {}
+##            # if a label occured before, assign its former compressed label, 
+##            # else assign the number of labels occured + 1 as the compressed label. 
+##            for value in set_unique_list[i]:
+##                if uset in all_set_unique:
+##                    set_compressed.update({uset: all_set_compressed[value]})
+##                else:
+##                    set_compressed.update({value: str(num_of_labels_occured + 1)})
+##                    num_of_labels_occured += 1
+#                    
+##            all_set_compressed.update(set_compressed)
+#            
+#            # relabel nodes
+#            for idx, node in enumerate(G.nodes()):
+#                G.nodes[node][node_label] = all_set_unique.index(all_multisets_list[ig][idx])
+#                
+#            # get the set of compressed labels
+#            labels_comp = list(nx.get_node_attributes(G, node_label).values())
+##            all_labels_ori.update(labels_comp)
+#            all_num_of_each_label[ig] = dict(Counter(labels_comp))
+            
+            
+
+        
+#        all_set_unique = list(all_set_unique)
+        
+        
+        # @todo: parallel this part.
+        for idx, G in enumerate(Gn):
+
+            all_multisets = []
+            for node, attrs in G.nodes(data=True):
+                # Multiset-label determination.
+                multiset = [G.nodes[neighbors][node_label] for neighbors in G[node]]
+                # sorting each multiset
+                multiset.sort()
+                multiset = [attrs[node_label]] + multiset # add the prefix 
+                all_multisets.append(tuple(multiset))
+
+            # label compression
+            set_unique = list(set(all_multisets)) # set of unique multiset labels
+            # a dictionary mapping original labels to new ones. 
+            set_compressed = {}
+            # if a label occured before, assign its former compressed label, 
+            # else assign the number of labels occured + 1 as the compressed label. 
+            for value in set_unique:
+                if value in all_set_compressed.keys():
+                    set_compressed.update({value: all_set_compressed[value]})
+                else:
+                    set_compressed.update({value: str(num_of_labels_occured + 1)})
+                    num_of_labels_occured += 1
+
+            all_set_compressed.update(set_compressed)
+
+            # relabel nodes
+            for idx, node in enumerate(G.nodes()):
+                G.nodes[node][node_label] = set_compressed[all_multisets[idx]]
+
+            # get the set of compressed labels
+            labels_comp = list(nx.get_node_attributes(G, node_label).values())
+#            all_labels_ori.update(labels_comp)
+            all_num_of_each_label.append(dict(Counter(labels_comp)))
+
+        # calculate subtree kernel with h iterations and add it to the final kernel
+        compute_kernel_matrix(Kmatrix, all_num_of_each_label, Gn, parallel, n_jobs, False)
+
+    return Kmatrix
+
+
+def wl_iteration(G, node_label):
+    all_multisets = []
+    for node, attrs in G.nodes(data=True):
+        # Multiset-label determination.
+        multiset = [G.nodes[neighbors][node_label] for neighbors in G[node]]
+        # sorting each multiset
+        multiset.sort()
+        multiset = [attrs[node_label]] + multiset # add the prefix 
+        all_multisets.append(tuple(multiset))
+#    # label compression
+#    set_unique = list(set(all_multisets)) # set of unique multiset labels
+    return all_multisets
+    
+#    # a dictionary mapping original labels to new ones. 
+#    set_compressed = {}
+#    # if a label occured before, assign its former compressed label, 
+#    # else assign the number of labels occured + 1 as the compressed label. 
+#    for value in set_unique:
+#        if value in all_set_compressed.keys():
+#            set_compressed.update({value: all_set_compressed[value]})
+#        else:
+#            set_compressed.update({value: str(num_of_labels_occured + 1)})
+#            num_of_labels_occured += 1
+#
+#    all_set_compressed.update(set_compressed)
+#
+#    # relabel nodes
+#    for idx, node in enumerate(G.nodes()):
+#        G.nodes[node][node_label] = set_compressed[all_multisets[idx]]
+#
+#    # get the set of compressed labels
+#    labels_comp = list(nx.get_node_attributes(G, node_label).values())
+#    all_labels_ori.update(labels_comp)
+#    all_num_of_each_label.append(dict(Counter(labels_comp)))
+#    return
+
+
+def wrapper_wl_iteration(node_label, itr_item):
+    g = itr_item[0]
+    i = itr_item[1]
+    all_multisets = wl_iteration(g, node_label)
+    return i, all_multisets
+
+
+def compute_kernel_matrix(Kmatrix, all_num_of_each_label, Gn, parallel, n_jobs, verbose):
+    """Compute kernel matrix using the base kernel.
+    """
+    if parallel == 'imap_unordered':
+        # compute kernels.
+        def init_worker(alllabels_toshare):
+            global G_alllabels
+            G_alllabels = alllabels_toshare
+        do_partial = partial(wrapper_compute_subtree_kernel, Kmatrix)
+        parallel_gm(do_partial, Kmatrix, Gn, init_worker=init_worker, 
+                    glbv=(all_num_of_each_label,), n_jobs=n_jobs, verbose=verbose)
+    elif parallel == None:
+        for i in range(len(Kmatrix)):
+            for j in range(i, len(Kmatrix)):
+                Kmatrix[i][j] = compute_subtree_kernel(all_num_of_each_label[i],
+                       all_num_of_each_label[j], Kmatrix[i][j])
+                Kmatrix[j][i] = Kmatrix[i][j]
+
+
+def compute_subtree_kernel(num_of_each_label1, num_of_each_label2, kernel):
+    """Compute the subtree kernel.
+    """
+    labels = set(list(num_of_each_label1.keys()) + list(num_of_each_label2.keys()))
+    vector1 = np.array([(num_of_each_label1[label] 
+                        if (label in num_of_each_label1.keys()) else 0) 
+                        for label in labels])
+    vector2 = np.array([(num_of_each_label2[label] 
+                        if (label in num_of_each_label2.keys()) else 0) 
+                        for label in labels])
+    kernel += np.dot(vector1, vector2)
+    return kernel
+
+
+def wrapper_compute_subtree_kernel(Kmatrix, itr):
+    i = itr[0]
+    j = itr[1]
+    return i, j, compute_subtree_kernel(G_alllabels[i], G_alllabels[j], Kmatrix[i][j])
+                
+
+def _wl_spkernel_do(Gn, node_label, edge_label, height):
+    """Calculate Weisfeiler-Lehman shortest path kernels between graphs.
+    
+    Parameters
+    ----------
+    Gn : List of NetworkX graph
+        List of graphs between which the kernels are calculated.       
+    node_label : string
+        node attribute used as label.      
+    edge_label : string
+        edge attribute used as label.       
+    height : int
+        subtree height.
+        
+    Return
+    ------
+    Kmatrix : Numpy matrix
+        Kernel matrix, each element of which is the Weisfeiler-Lehman kernel between 2 praphs.
+    """
+    pass
+    from pygraph.utils.utils import getSPGraph
+      
+    # init.
+    height = int(height)
+    Kmatrix = np.zeros((len(Gn), len(Gn))) # init kernel
+
+    Gn = [ getSPGraph(G, edge_weight = edge_label) for G in Gn ] # get shortest path graphs of Gn
+    
+    # initial for height = 0
+    for i in range(0, len(Gn)):
+        for j in range(i, len(Gn)):
+            for e1 in Gn[i].edges(data = True):
+                for e2 in Gn[j].edges(data = True):          
+                    if e1[2]['cost'] != 0 and e1[2]['cost'] == e2[2]['cost'] and ((e1[0] == e2[0] and e1[1] == e2[1]) or (e1[0] == e2[1] and e1[1] == e2[0])):
+                        Kmatrix[i][j] += 1
+            Kmatrix[j][i] = Kmatrix[i][j]
+            
+    # iterate each height
+    for h in range(1, height + 1):
+        all_set_compressed = {} # a dictionary mapping original labels to new ones in all graphs in this iteration
+        num_of_labels_occured = 0 # number of the set of letters that occur before as node labels at least once in all graphs
+        for G in Gn: # for each graph
+            set_multisets = []
+            for node in G.nodes(data = True):
+                # Multiset-label determination.
+                multiset = [ G.node[neighbors][node_label] for neighbors in G[node[0]] ]
+                # sorting each multiset
+                multiset.sort()
+                multiset = node[1][node_label] + ''.join(multiset) # concatenate to a string and add the prefix 
+                set_multisets.append(multiset)          
+
+            # label compression
+            set_unique = list(set(set_multisets)) # set of unique multiset labels
+            # a dictionary mapping original labels to new ones. 
+            set_compressed = {}
+            # if a label occured before, assign its former compressed label, else assign the number of labels occured + 1 as the compressed label 
+            for value in set_unique:
+                if value in all_set_compressed.keys():
+                    set_compressed.update({ value : all_set_compressed[value] })
+                else:
+                    set_compressed.update({ value : str(num_of_labels_occured + 1) })
+                    num_of_labels_occured += 1
+
+            all_set_compressed.update(set_compressed)
+            
+            # relabel nodes
+            for node in G.nodes(data = True):
+                node[1][node_label] = set_compressed[set_multisets[node[0]]]
+                
+        # calculate subtree kernel with h iterations and add it to the final kernel
+        for i in range(0, len(Gn)):
+            for j in range(i, len(Gn)):
+                for e1 in Gn[i].edges(data = True):
+                    for e2 in Gn[j].edges(data = True):          
+                        if e1[2]['cost'] != 0 and e1[2]['cost'] == e2[2]['cost'] and ((e1[0] == e2[0] and e1[1] == e2[1]) or (e1[0] == e2[1] and e1[1] == e2[0])):
+                            Kmatrix[i][j] += 1
+                Kmatrix[j][i] = Kmatrix[i][j]
+        
+    return Kmatrix
+
+
+
+def _wl_edgekernel_do(Gn, node_label, edge_label, height):
+    """Calculate Weisfeiler-Lehman edge kernels between graphs.
+    
+    Parameters
+    ----------
+    Gn : List of NetworkX graph
+        List of graphs between which the kernels are calculated.       
+    node_label : string
+        node attribute used as label.      
+    edge_label : string
+        edge attribute used as label.       
+    height : int
+        subtree height.
+        
+    Return
+    ------
+    Kmatrix : Numpy matrix
+        Kernel matrix, each element of which is the Weisfeiler-Lehman kernel between 2 praphs.
+    """      
+    pass
+    # init.
+    height = int(height)
+    Kmatrix = np.zeros((len(Gn), len(Gn))) # init kernel
+  
+    # initial for height = 0
+    for i in range(0, len(Gn)):
+        for j in range(i, len(Gn)):
+            for e1 in Gn[i].edges(data = True):
+                for e2 in Gn[j].edges(data = True):          
+                    if e1[2][edge_label] == e2[2][edge_label] and ((e1[0] == e2[0] and e1[1] == e2[1]) or (e1[0] == e2[1] and e1[1] == e2[0])):
+                        Kmatrix[i][j] += 1
+            Kmatrix[j][i] = Kmatrix[i][j]
+            
+    # iterate each height
+    for h in range(1, height + 1):
+        all_set_compressed = {} # a dictionary mapping original labels to new ones in all graphs in this iteration
+        num_of_labels_occured = 0 # number of the set of letters that occur before as node labels at least once in all graphs
+        for G in Gn: # for each graph
+            set_multisets = []            
+            for node in G.nodes(data = True):
+                # Multiset-label determination.
+                multiset = [ G.node[neighbors][node_label] for neighbors in G[node[0]] ]
+                # sorting each multiset
+                multiset.sort()
+                multiset = node[1][node_label] + ''.join(multiset) # concatenate to a string and add the prefix 
+                set_multisets.append(multiset)          
+
+            # label compression
+            set_unique = list(set(set_multisets)) # set of unique multiset labels
+            # a dictionary mapping original labels to new ones. 
+            set_compressed = {}
+            # if a label occured before, assign its former compressed label, else assign the number of labels occured + 1 as the compressed label 
+            for value in set_unique:
+                if value in all_set_compressed.keys():
+                    set_compressed.update({ value : all_set_compressed[value] })
+                else:
+                    set_compressed.update({ value : str(num_of_labels_occured + 1) })
+                    num_of_labels_occured += 1
+
+            all_set_compressed.update(set_compressed)
+            
+            # relabel nodes
+            for node in G.nodes(data = True):
+                node[1][node_label] = set_compressed[set_multisets[node[0]]]
+                
+        # calculate subtree kernel with h iterations and add it to the final kernel
+        for i in range(0, len(Gn)):
+            for j in range(i, len(Gn)):
+                for e1 in Gn[i].edges(data = True):
+                    for e2 in Gn[j].edges(data = True):          
+                        if e1[2][edge_label] == e2[2][edge_label] and ((e1[0] == e2[0] and e1[1] == e2[1]) or (e1[0] == e2[1] and e1[1] == e2[0])):
+                            Kmatrix[i][j] += 1
+                Kmatrix[j][i] = Kmatrix[i][j]
+        
+    return Kmatrix
+
+
+def _wl_userkernel_do(Gn, node_label, edge_label, height, base_kernel):
+    """Calculate Weisfeiler-Lehman kernels based on user-defined kernel between graphs.
+    
+    Parameters
+    ----------
+    Gn : List of NetworkX graph
+        List of graphs between which the kernels are calculated.       
+    node_label : string
+        node attribute used as label.      
+    edge_label : string
+        edge attribute used as label.       
+    height : int
+        subtree height.
+    base_kernel : string
+        Name of the base kernel function used in each iteration of WL kernel. This function returns a Numpy matrix, each element of which is the user-defined Weisfeiler-Lehman kernel between 2 praphs.
+        
+    Return
+    ------
+    Kmatrix : Numpy matrix
+        Kernel matrix, each element of which is the Weisfeiler-Lehman kernel between 2 praphs.
+    """      
+    pass
+    # init.
+    height = int(height)
+    Kmatrix = np.zeros((len(Gn), len(Gn))) # init kernel
+  
+    # initial for height = 0
+    Kmatrix = base_kernel(Gn, node_label, edge_label)
+            
+    # iterate each height
+    for h in range(1, height + 1):
+        all_set_compressed = {} # a dictionary mapping original labels to new ones in all graphs in this iteration
+        num_of_labels_occured = 0 # number of the set of letters that occur before as node labels at least once in all graphs
+        for G in Gn: # for each graph
+            set_multisets = []           
+            for node in G.nodes(data = True):
+                # Multiset-label determination.
+                multiset = [ G.node[neighbors][node_label] for neighbors in G[node[0]] ]
+                # sorting each multiset
+                multiset.sort()
+                multiset = node[1][node_label] + ''.join(multiset) # concatenate to a string and add the prefix 
+                set_multisets.append(multiset)          
+
+            # label compression
+            set_unique = list(set(set_multisets)) # set of unique multiset labels
+            # a dictionary mapping original labels to new ones. 
+            set_compressed = {}
+            # if a label occured before, assign its former compressed label, else assign the number of labels occured + 1 as the compressed label 
+            for value in set_unique:
+                if value in all_set_compressed.keys():
+                    set_compressed.update({ value : all_set_compressed[value] })
+                else:
+                    set_compressed.update({ value : str(num_of_labels_occured + 1) })
+                    num_of_labels_occured += 1
+
+            all_set_compressed.update(set_compressed)
+            
+            # relabel nodes
+            for node in G.nodes(data = True):
+                node[1][node_label] = set_compressed[set_multisets[node[0]]]
+                
+        # calculate kernel with h iterations and add it to the final kernel
+        Kmatrix += base_kernel(Gn, node_label, edge_label)
+        
+    return Kmatrix
diff --git a/pygraph/utils/kernels.py b/pygraph/utils/kernels.py
index a89274f..1e9e44d 100644
--- a/pygraph/utils/kernels.py
+++ b/pygraph/utils/kernels.py
@@ -61,7 +61,7 @@ def polynomialkernel(x, y, d=1, c=0):
     """Polynomial kernel.
     Compute the polynomial kernel between x and y:
 
-        K(x, y) = (x^Ty)^d + c.
+        K(x, y) = <x, y> ^d + c.
 
     Parameters
     ----------
@@ -78,6 +78,27 @@ def polynomialkernel(x, y, d=1, c=0):
     return np.dot(x, y) ** d + c
 
 
+def linearkernel(x, y):
+    """Polynomial kernel.
+    Compute the polynomial kernel between x and y:
+
+        K(x, y) = <x, y>.
+
+    Parameters
+    ----------
+    x, y : array
+
+    d : integer, default 1
+    
+    c : float, default 0
+
+    Returns
+    -------
+    kernel : float
+    """
+    return np.dot(x, y)
+
+
 def kernelsum(k1, k2, d11, d12, d21=None, d22=None, lamda1=1, lamda2=1):
     """Sum of a pair of kernels.
 
diff --git a/pygraph/utils/utils.py b/pygraph/utils/utils.py
index b252007..b15ce94 100644
--- a/pygraph/utils/utils.py
+++ b/pygraph/utils/utils.py
@@ -241,4 +241,22 @@ def graph_isIdentical(G1, G2):
         return False
     # check graph attributes.
     
-    return True
\ No newline at end of file
+    return True
+
+
+def get_node_labels(Gn, node_label):
+    """Get node labels of dataset Gn.
+    """
+    nl = set()
+    for G in Gn:
+        nl = nl | set(nx.get_node_attributes(G, node_label).values())
+    return nl
+
+
+def get_edge_labels(Gn, edge_label):
+    """Get edge labels of dataset Gn.
+    """
+    el = set()
+    for G in Gn:
+        el = el | set(nx.get_edge_attributes(G, edge_label).values())
+    return el
\ No newline at end of file