License: Creative Commons Attribution 3.0 Unported license (CC BY 3.0)
When quoting this document, please refer to the following
DOI: 10.4230/LIPIcs.MFCS.2019.32
URN: urn:nbn:de:0030-drops-109761
URL: http://dagstuhl.sunsite.rwth-aachen.de/volltexte/2019/10976/
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Cervený, Radovan ; Suchý, Ondrej

Faster FPT Algorithm for 5-Path Vertex Cover

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LIPIcs-MFCS-2019-32.pdf (0.5 MB)

Abstract

The problem of d-Path Vertex Cover, d-PVC lies in determining a subset F of vertices of a given graph G=(V,E) such that G \ F does not contain a path on d vertices. The paths we aim to cover need not to be induced. It is known that the d-PVC problem is NP-complete for any d >= 2. When parameterized by the size of the solution k, 5-PVC has direct trivial algorithm with O(5^kn^{O(1)}) running time and, since d-PVC is a special case of d-Hitting Set, an algorithm running in O(4.0755^kn^{O(1)}) time is known. In this paper we present an iterative compression algorithm that solves the 5-PVC problem in O(4^kn^{O(1)}) time.

BibTeX - Entry

@InProceedings{cerven_et_al:LIPIcs:2019:10976,
  author =	{Radovan Cerven{\'y} and Ondrej Such{\'y}},
  title =	{{Faster FPT Algorithm for 5-Path Vertex Cover}},
  booktitle =	{44th International Symposium on Mathematical Foundations of Computer Science (MFCS 2019)},
  pages =	{32:1--32:13},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-117-7},
  ISSN =	{1868-8969},
  year =	{2019},
  volume =	{138},
  editor =	{Peter Rossmanith and Pinar Heggernes and Joost-Pieter Katoen},
  publisher =	{Schloss Dagstuhl--Leibniz-Zentrum fuer Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{http://drops.dagstuhl.de/opus/volltexte/2019/10976},
  URN =		{urn:nbn:de:0030-drops-109761},
  doi =		{10.4230/LIPIcs.MFCS.2019.32},
  annote =	{Keywords: graph algorithms, Hitting Set, iterative compression, parameterized complexity, d-Path Vertex Cover}
}

Keywords: graph algorithms, Hitting Set, iterative compression, parameterized complexity, d-Path Vertex Cover
Collection: 44th International Symposium on Mathematical Foundations of Computer Science (MFCS 2019)
Issue Date: 2019
Date of publication: 20.08.2019

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