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).

Original languageEnglish
Pages (from-to)323-343
Number of pages21
JournalTheory of Computing Systems
Volume65
Issue number2
DOIs
StatePublished - 1 Feb 2021

Keywords

  • Graph algorithms
  • Parameterized complexity

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