Abstract
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.
This work was supported in part by the USA National Science Foundation under the Grants CCF-0830455 and CCF-0917288.
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Chen, J., Meng, J. (2010). A 2k Kernel for the Cluster Editing Problem. In: Thai, M.T., Sahni, S. (eds) Computing and Combinatorics. COCOON 2010. Lecture Notes in Computer Science, vol 6196. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-14031-0_49
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DOI: https://doi.org/10.1007/978-3-642-14031-0_49
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