A 2k Kernel for the Cluster Editing Problem
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The cluster 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. 2010 Springer-Verlag Berlin Heidelberg.