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.2016.53
URN: urn:nbn:de:0030-drops-64653
URL: https://drops.dagstuhl.de/opus/volltexte/2016/6465/
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Jansson, Jesper ; Sung, Wing-Kin

Minimal Phylogenetic Supertrees and Local Consensus Trees

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LIPIcs-MFCS-2016-53.pdf (0.6 MB)


Abstract

The problem of constructing a minimally resolved phylogenetic supertree (i.e., having the smallest possible number of internal nodes) that contains all of the rooted triplets from a consistent set R is known to be NP-hard. In this paper, we prove that constructing a phylogenetic tree consistent with R that contains the minimum number of additional rooted triplets is also NP-hard, and develop exact, exponential-time algorithms for both problems. The new algorithms are applied to construct two variants of the local consensus tree; for any set S of phylogenetic trees over some leaf label set L, this gives a minimal phylogenetic tree over L that contains every rooted triplet present in all trees in S, where ``minimal'' means either having the smallest possible number of internal nodes or the smallest possible number of rooted triplets. The second variant generalizes the RV-II tree, introduced by Kannan, Warnow, and Yooseph in 1998.

BibTeX - Entry

@InProceedings{jansson_et_al:LIPIcs:2016:6465,
  author =	{Jesper Jansson and Wing-Kin Sung},
  title =	{{Minimal Phylogenetic Supertrees and Local Consensus Trees}},
  booktitle =	{41st International Symposium on Mathematical Foundations of Computer Science (MFCS 2016)},
  pages =	{53:1--53:14},
  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/2016/6465},
  URN =		{urn:nbn:de:0030-drops-64653},
  doi =		{10.4230/LIPIcs.MFCS.2016.53},
  annote =	{Keywords: phylogenetic tree, rooted triplet, local consensus, minimal supertree, computational complexity, bioinformatics}
}

Keywords: phylogenetic tree, rooted triplet, local consensus, minimal supertree, computational complexity, bioinformatics
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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