摘要

A clique of a graph is a vertex subset of which the vertices are pairwise adjacent. The maximum clique is a clique with the maximum size. The maximum clique problem consists of finding a maximum clique. It is well known that it is an NP-hard combinatorial optimization problem and it has a large number of applications. In this paper, we present a fast algorithm of the maximum clique problem for the transitive graphs. Experimental results show that the proposed algorithm performs very well for cyclic graphs which is a class of vertex transitive graphs. We suggest the approach be used to obtain upper bounds for clique numbers of graphs with large order or large size.

  • 出版日期2014-7
  • 单位西南政法大学

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