The Maximum Common Subgraph Problem: Faster Solutions via Vertex Cover

  title={The Maximum Common Subgraph Problem: Faster Solutions via Vertex Cover},
  author={Faisal N. Abu-Khzam and Nagiza F. Samatova and Mohamad A. Rizk and Michael A. Langston},
  journal={2007 IEEE/ACS International Conference on Computer Systems and Applications},
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… CONTINUE READING
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