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DOI: 10.4230/DagSemProc.07281.5
URN: urn:nbn:de:0030-drops-12333
URL: https://drops.dagstuhl.de/opus/volltexte/2007/1233/
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Chen, Jianer ; Liu, Yang ; Lu, Songiian

Directed Feedback Vertex Set Problem is FPT

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07281.ChenKianer.Paper.1236.pdf (0.3 MB)


Abstract

To decide if the {sc parameterized feedback vertex set} problem
in directed graph is fixed-parameter tractable is a long standing
open problem. In this paper, we prove that the {sc parameterized
feedback vertex set} in directed graph is fixed-parameter
tractable and give the first FPT algorithm of running time
$O((1.48k)^kn^{O(1)})$ for it. As the {sc feedback arc set}
problem in directed graph can be transformed to a {sc
feedback vertex set} problem in directed graph,
hence we also show that the {sc parameterized feedback arc set}
problem can be solved in time of $O((1.48k)^kn^{O(1)})$.


BibTeX - Entry

@InProceedings{chen_et_al:DagSemProc.07281.5,
  author =	{Chen, Jianer and Liu, Yang and Lu, Songiian},
  title =	{{Directed Feedback Vertex Set Problem is FPT}},
  booktitle =	{Structure Theory and FPT Algorithmics for Graphs, Digraphs and Hypergraphs},
  pages =	{1--17},
  series =	{Dagstuhl Seminar Proceedings (DagSemProc)},
  ISSN =	{1862-4405},
  year =	{2007},
  volume =	{7281},
  editor =	{Erik Demaine and Gregory Z. Gutin and Daniel Marx and Ulrike Stege},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/opus/volltexte/2007/1233},
  URN =		{urn:nbn:de:0030-drops-12333},
  doi =		{10.4230/DagSemProc.07281.5},
  annote =	{Keywords: Directed feedback vertex set problem, parameterized algorithm,}
}

Keywords: Directed feedback vertex set problem, parameterized algorithm,
Collection: 07281 - Structure Theory and FPT Algorithmics for Graphs, Digraphs and Hypergraphs
Issue Date: 2007
Date of publication: 28.11.2007


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