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DOI: 10.4230/DagSemProc.07281.4
URN: urn:nbn:de:0030-drops-12363
URL: https://drops.dagstuhl.de/opus/volltexte/2007/1236/
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Razgon, Igor ; O'Sullivan, Barry

Directed Feedback Vertex Set is Fixed-Parameter Tractable

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07281.RazgonIgor.Paper.1233.pdf (0.2 MB)

Abstract

We resolve positively a long standing open question regarding the
fixed-parameter tractability of the parameterized Directed Feedback
Vertex Set problem. In particular, we propose an algorithm which
solves this problem in $O(8^kk!*poly(n))$.

BibTeX - Entry

@InProceedings{razgon_et_al:DagSemProc.07281.4,
  author =	{Razgon, Igor and O'Sullivan, Barry},
  title =	{{Directed Feedback Vertex Set is Fixed-Parameter Tractable}},
  booktitle =	{Structure Theory and FPT Algorithmics for Graphs, Digraphs and Hypergraphs},
  pages =	{1--14},
  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/2007/1236},
  URN =		{urn:nbn:de:0030-drops-12363},
  doi =		{10.4230/DagSemProc.07281.4},
  annote =	{Keywords: Directed FVS, Multicut, Directed Acyclic Graph (DAG)}
}

Keywords: Directed FVS, Multicut, Directed Acyclic Graph (DAG)
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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