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AICCSA
2007
IEEE

The Maximum Common Subgraph Problem: Faster Solutions via Vertex Cover

10 years 9 months ago
The Maximum Common Subgraph Problem: Faster Solutions via Vertex Cover
In the maximum common subgraph (MCS) problem, we are given a pair of graphs and asked to find the largest induced subgraph common to them both. With its plethora of applications, MCS is a familiar and challenging problem. Many algorithms exist that can deliver optimal MCS solutions, but whose asymptotic worst-case run times fail to do better than mere brute-force, which is exponential in the order of the smaller graph. In this paper, we present a faster solution to MCS. We transform an essential part of the search process into the task of enumerating maximal independent sets in only a part of only one of the input graphs. This is made possible by exploiting an efficient decomposition of a graph into a minimum vertex cover and the maximum independent set in its complement. The result is an algorithm whose run ∗This research has been supported in part by the Lebanese American University under grant URC-c2004-63, by the U.S. Department of Energy Office of Advanced Scientific Comput...
Faisal N. Abu-Khzam, Nagiza F. Samatova, Mohamad A
Added 02 Jun 2010
Updated 02 Jun 2010
Type Conference
Year 2007
Where AICCSA
Authors Faisal N. Abu-Khzam, Nagiza F. Samatova, Mohamad A. Rizk, Michael A. Langston
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