Research Article

Fast Parallel All-Subgraph Enumeration Using Multicore Machines

Table 2

The effectiveness of ordered labeling heuristic for subgraph isomorphism detection.

Subgraph Size
34567

ElegansNumber of subgraphs47,3221,394,25943,256,0691,309,307,35737,818,052,163
Number of ordered labels2055224,745961,47631,104,089
Number of nonisomorphic subgraphs 131977,072286,3769,584,962

JazzNumber of subgraphs67,4141,833,61849,500,6541,266,953,06230,166,157,456
Number of ordered labels54586232,4932,291,205
Number of nonisomorphic subgraphs 4242675,647237,008

SchoolNumber of subgraphs205,7968,581,352348,596,92513,140,615,595451,141,199,919
Number of ordered labels54586232,5152,409,520
Number of nonisomorphic subgraphs4242675,647237,319

VidalNumber of subgraphs86,7152,161,17062,607,0361,901,854,90458,919,388,890
Number of ordered labels4276618,201411,1488,637,628
Number of nonisomorphic subgraphs3242674,90997,094

GnutellaNumber of subgraphs1,564,12623,646,400449,446,4899,806,726,769234,415,296,091
Number of ordered labels77093312,787170,594
Number of nonisomorphic subgraphs 5322912,71425,230