A 2k Kernel for the cluster editing problem

  • Authors:
  • Jianer Chen;Jie Meng

  • Affiliations:
  • Department of Computer Science and Engineering, Texas A&M University, College Station, TX;Department of Computer Science and Engineering, Texas A&M University, College Station, TX

  • Venue:
  • COCOON'10 Proceedings of the 16th annual international conference on Computing and combinatorics
  • Year:
  • 2010

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Abstract

The CLUSTERN EDITING problem for a given graph G and a given parameter k asks if one can apply at most k edge insertion/deletion operations on G so that the resulting graph is a union of disjoint cliques. The problem has attracted much attention because of its applications in bioinformatics. In this paper, we present a polynomial time kernelization algorithm for the problem that produces a kernel of size bounded by 2k, improving the previously best kernel of size 4k for the problem.