An improved branch and bound algorithm for the maximum clique problem

نویسندگان

  • Janez Konc
  • Dušanka Janežič
چکیده

A new algorithm for finding a maximum clique in an undirected graph is described. An approximate coloring algorithm has been improved and used to provide bounds to the size of the maximum clique in a basic algorithm which finds a maximum clique. This basic algorithm was then extended to include dynamically varying bounds. The resulting algorithm is significantly faster than the comparable algorithm. ∗ Author to whom correspondence should be addressed email: [email protected] telephone: 00386-14760200 fax: 00386-14760300 MATCH Communications in Mathematical and in Computer Chemistry MATCH Commun. Math. Comput. Chem. 58 (2007) 569-590

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تاریخ انتشار 2007