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Graph Kernel

A Degeneracy Framework for Graph Similarity

Envs

Usage

python bio.py
python social.py

Dataset

Bioinformatics and Chemoinformatics Dataset

DatasetMUTAGENZYMESNCI1PTC-MRDD
#Graphs18860041103441178
#Classes26222
Avg. #Nodes17.9332.6329.8714.29284.32
Avg. #Edges19.7962.1432.3014.69715.66
Node Labels+++++
Edge Labels+--+-
Node Attr.(Dim.)-+(18)---
Edge Attr.(Dim.)-----

Social Networks Dataset

DatasetIMDB-BINARYIMDB-MULTIREDDIT-BINARYREDDIT-MULTI-5KREDDIT-MULTI-12K
#Graphs100015002000499911929
#Classes232511
Avg. #Nodes19.7713.00429.63508.52391.41
Avg. #Edges96.5365.94497.75594.87456.89
Node Labels-----
Edge Labels-----
Node Attr.(Dim.)-----
Edge Attr.(Dim.)-----

Accuracy

Bioinformatics and Chemoinformatics

MethodMUTAGENZYMESNCI1PTC-MRDD
GR83(0.12)20(0.06)62(0.02)/
CORE GR79(0.11)20(0.04)62(0.03)/
SP81(0.11)37(0.05)67(0.02)/
CORE SP81(0.11)37(0.06)67(0.03)/
WL78(0.12)32(0.04)81(0.02)/
CORE WL81(0.10)33(0.04)81(0.02)/
PM85(0.10)34(0.05)70(0.03)/
CORE PM86(0.11)36(0.06)73(0.02)/

Social Networks

MethodIMDB-BINARYIMDB-MULTIREDDIT-BINARYREDDIT-MULTI-5KREDDIT-MULTI-12K
GR
CORE GR
SP
CORE SP
WL
CORE WL
PM
CORE PM

Time

Bioinformatics and Chemoinformatics

MethodMUTAGENZYMESNCI1PTC-MRDD
GR18.46(0.62)60.71(1.46)397.39(12.99)/
CORE GR56.31(1.53)247.89(6.69)1225.32(33.67)/
SP0.40(0.01)4.94(0.06)24.97(0.12)/
CORE SP1.29(0.06)21.57(0.33)74.30(0.71)/
WL0.09(0.02)0.83(0.17)9.48(0.17)/
CORE WL0.33(0.07)3.76(0.78)25.06(0.74)/
PM0.96(0.05)8.03(0.44)379.52(33.21)/
CORE PM2.85(0.15)32.03(2.20)1124.29(96.92)/

Social Networks

MethodIMDB-BINARYIMDB-MULTIREDDIT-BINARYREDDIT-MULTI-5KREDDIT-MULTI-12K
GR
CORE GR
SP
CORE SP
WL
CORE WL
PM
CORE PM

Reference