Faster Parameterized Algorithm for Cluster Vertex Deletion

Dekel Tsur

doi:10.1007/s00224-020-10005-w

Faster Parameterized Algorithm for Cluster Vertex Deletion

Dekel Tsur

Department of Computer Science

Ben-Gurion University of the Negev

Research output: Contribution to journal › Article › peer-review

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^∗(1.811^k).

Original language	American English
Pages (from-to)	323-343
Number of pages	21
Journal	Theory of Computing Systems
Volume	65
Issue number	2
DOIs	https://doi.org/10.1007/s00224-020-10005-w
State	Published - 1 Feb 2021

Keywords

Graph algorithms
Parameterized complexity

All Science Journal Classification (ASJC) codes

Theoretical Computer Science
Computational Theory and Mathematics

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10.1007/s00224-020-10005-w

Cite this

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title = "Faster Parameterized Algorithm for Cluster Vertex Deletion",

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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AB - 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).

KW - Graph algorithms

KW - Parameterized complexity

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JO - Theory of Computing Systems

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Faster Parameterized Algorithm for Cluster Vertex Deletion

Abstract

Keywords

All Science Journal Classification (ASJC) codes

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