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DOI: 10.4230/LIPIcs.SEA.2018.12

Experimental Evaluation of Parameterized Algorithms for Feedback Vertex Set

Authors: Krzysztof Kiljan and Marcin Pilipczuk

Published in: LIPIcs, Volume 103, 17th International Symposium on Experimental Algorithms (SEA 2018)

Abstract

Feedback Vertex Set is a classic combinatorial optimization problem that asks for a minimum set of vertices in a given graph whose deletion makes the graph acyclic. From the point of view of parameterized algorithms and fixed-parameter tractability, Feedback Vertex Set is one of the landmark problems: a long line of study resulted in multiple algorithmic approaches and deep understanding of the combinatorics of the problem. Because of its central role in parameterized complexity, the first edition of the Parameterized Algorithms and Computational Experiments Challenge (PACE) in 2016 featured Feedback Vertex Set as the problem of choice in one of its tracks. The results of PACE 2016 on one hand showed large discrepancy between performance of different classic approaches to the problem, and on the other hand indicated a new approach based on half-integral relaxations of the problem as probably the most efficient approach to the problem. In this paper we provide an exhaustive experimental evaluation of fixed-parameter and branching algorithms for Feedback Vertex Set.

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Krzysztof Kiljan and Marcin Pilipczuk. Experimental Evaluation of Parameterized Algorithms for Feedback Vertex Set. In 17th International Symposium on Experimental Algorithms (SEA 2018). Leibniz International Proceedings in Informatics (LIPIcs), Volume 103, pp. 12:1-12:12, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2018)

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@InProceedings{kiljan_et_al:LIPIcs.SEA.2018.12,
  author =	{Kiljan, Krzysztof and Pilipczuk, Marcin},
  title =	{{Experimental Evaluation of Parameterized Algorithms for Feedback Vertex Set}},
  booktitle =	{17th International Symposium on Experimental Algorithms (SEA 2018)},
  pages =	{12:1--12:12},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-070-5},
  ISSN =	{1868-8969},
  year =	{2018},
  volume =	{103},
  editor =	{D'Angelo, Gianlorenzo},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.SEA.2018.12},
  URN =		{urn:nbn:de:0030-drops-89477},
  doi =		{10.4230/LIPIcs.SEA.2018.12},
  annote =	{Keywords: Empirical Evaluation of Algorithms, Feedback Vertex Set}
}

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Experimental Evaluation of Parameterized Algorithms for Feedback Vertex Set

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