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 77843, USA;Department of Computer Science and Engineering, Texas A&M University, College Station, TX 77843, USA

  • Venue:
  • Journal of Computer and System Sciences
  • Year:
  • 2012

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Abstract

The cluster editing problem is a decision problem that, for a graph G and a parameter k, determines if one can apply at most k edge insertion/deletion operations on G so that the resulting graph becomes a union of disjoint cliques. The problem has attracted much attention because of its applications in a variety of areas. In this paper, we present a polynomial-time kernelization algorithm for the problem that produces a kernel of size bounded by 2k. More precisely, we develop an O(mn)-time algorithm that, on a graph G of n vertices and m edges and a parameter k, produces a graph G^' and a parameter k^' such that k^'=