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A graph g is called a maximum common subgraph of two graphs, g1 and g2, if there exists no other common subgraph of g1 and g2 that has more nodes than g. For the maximum common subgraph problem, exact and inexact algorithms are known from the literature. Nevertheless, until now no effort has been done for characterizing their performance. In this paper, two exact algorithms for maximum common subgraph detection are described. Moreover a database containing randomly connected pairs of graphs, having a maximum common graph of at least two nodes, is presented, and the performance of the two algorithms is evaluated on this database.

A Comparison of Algorithms for Maximum Common Subgraph on Randomly Connected Graphs