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.2016.34
URN: urn:nbn:de:0030-drops-64483
URL: http://dagstuhl.sunsite.rwth-aachen.de/volltexte/2016/6448/
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Eiben, Eduard ; Ganian, Robert ; Kwon, O-joung

A Single-Exponential Fixed-Parameter Algorithm for Distance-Hereditary Vertex Deletion

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LIPIcs-MFCS-2016-34.pdf (0.5 MB)

Abstract

Vertex deletion problems ask whether it is possible to delete at most k vertices from a graph so that the resulting graph belongs to a specified graph class. Over the past years, the parameterized complexity of vertex deletion to a plethora of graph classes has been systematically researched. Here we present the first single-exponential fixed-parameter algorithm for vertex deletion to distance-hereditary graphs, a well-studied graph class which is particularly important in the context of vertex deletion due to its connection to the graph parameter rank-width. We complement our result with matching asymptotic lower bounds based on the exponential time hypothesis.

BibTeX - Entry

@InProceedings{eiben_et_al:LIPIcs:2016:6448,
  author =	{Eduard Eiben and Robert Ganian and O-joung Kwon},
  title =	{{A Single-Exponential Fixed-Parameter Algorithm for Distance-Hereditary Vertex Deletion}},
  booktitle =	{41st International Symposium on Mathematical Foundations of Computer Science (MFCS 2016)},
  pages =	{34:1--34:14},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-016-3},
  ISSN =	{1868-8969},
  year =	{2016},
  volume =	{58},
  editor =	{Piotr Faliszewski and Anca Muscholl and Rolf Niedermeier},
  publisher =	{Schloss Dagstuhl--Leibniz-Zentrum fuer Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{http://drops.dagstuhl.de/opus/volltexte/2016/6448},
  URN =		{urn:nbn:de:0030-drops-64483},
  doi =		{10.4230/LIPIcs.MFCS.2016.34},
  annote =	{Keywords: distance-hereditary graphs, fixed-parameter algorithms, rank-width}
}

Keywords: distance-hereditary graphs, fixed-parameter algorithms, rank-width
Collection: 41st International Symposium on Mathematical Foundations of Computer Science (MFCS 2016)
Issue Date: 2016
Date of publication: 19.08.2016

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