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.CPM.2017.28
URN: urn:nbn:de:0030-drops-73284
URL: http://dagstuhl.sunsite.rwth-aachen.de/volltexte/2017/7328/
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Lafond, Manuel ; Scornavacca, Celine

On the Weighted Quartet Consensus Problem

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LIPIcs-CPM-2017-28.pdf (0.7 MB)

Abstract

In phylogenetics, the consensus problem consists in summarizing a set of phylogenetic trees that all classify the same set of species into a single tree. Several definitions of consensus exist in the literature; in this paper we focus on the Weighted Quartet Consensus problem, a problem with unknown complexity status so far. Here we prove that the Weighted Quartet Consensus problem is NP-hard and we give a 1/2-factor approximation for this problem. During the process, we propose a derandomization procedure of a previously known randomized 1/3-factor approximation. We also investigate the fixed-parameter tractability of this problem.

BibTeX - Entry

@InProceedings{lafond_et_al:LIPIcs:2017:7328,
  author =	{Manuel Lafond and Celine Scornavacca},
  title =	{{On the Weighted Quartet Consensus Problem}},
  booktitle =	{28th Annual Symposium on Combinatorial Pattern Matching (CPM 2017)},
  pages =	{28:1--28:18},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-039-2},
  ISSN =	{1868-8969},
  year =	{2017},
  volume =	{78},
  editor =	{Juha K{\"a}rkk{\"a}inen and Jakub Radoszewski and Wojciech Rytter},
  publisher =	{Schloss Dagstuhl--Leibniz-Zentrum fuer Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{http://drops.dagstuhl.de/opus/volltexte/2017/7328},
  URN =		{urn:nbn:de:0030-drops-73284},
  doi =		{10.4230/LIPIcs.CPM.2017.28},
  annote =	{Keywords: phylogenetic tree, consensus tree, quartets, complexity, fixed-parameter tractability}
}

Keywords: phylogenetic tree, consensus tree, quartets, complexity, fixed-parameter tractability
Collection: 28th Annual Symposium on Combinatorial Pattern Matching (CPM 2017)
Issue Date: 2017
Date of publication: 30.06.2017

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