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Faster Parameterized Algorithm for Cluster Vertex Deletion

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Abstract

In the Cluster Vertex Deletion problem the input is a graph G and an integer k. The goal is to decide whether there is a set of vertices S of size at most k such that the deletion of the vertices of S from G results in a graph in which every connected component is a clique. We give an algorithm for Cluster Vertex Deletion whose running time is O(1.811k).

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Correspondence to Dekel Tsur.

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Tsur, D. Faster Parameterized Algorithm for Cluster Vertex Deletion. Theory Comput Syst 65, 323–343 (2021). https://doi.org/10.1007/s00224-020-10005-w

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