Algorithms for the Majority Rule (+) Consensus Tree and the Frequency Difference Consensus Tree

Jesper Andreas Jansson; Ramesh Rajaby; Chuanqi Shen; Wing Kin Sung

doi:10.1109/TCBB.2016.2609923

Algorithms for the Majority Rule (+) Consensus Tree and the Frequency Difference Consensus Tree

Jesper Andreas Jansson, Ramesh Rajaby, Chuanqi Shen, Wing Kin Sung

Research output: Journal article publication › Journal article › Academic research › peer-review

5 Citations (Scopus)

Abstract

This article presents two new deterministic algorithms for constructing consensus trees. Given an input of κ phylogenetic trees with identical leaf label sets and n leaves each, the first algorithm constructs the majority rule (+) consensus tree in O(kn) time, which is optimal since the input size is ω (kn) , and the second one constructs the frequency difference consensus tree in μ\lbrace O(kn2), O(kn (k+log2n)) time.

Original language	English
Pages (from-to)	15-26
Number of pages	12
Journal	IEEE/ACM Transactions on Computational Biology and Bioinformatics
Volume	15
Issue number	1
DOIs	https://doi.org/10.1109/TCBB.2016.2609923
Publication status	Published - 1 Jan 2018
Externally published	Yes

Keywords

cluster
consensus tree
pairwise compatibility
Phylogenetic tree
tree algorithm

ASJC Scopus subject areas

Biotechnology
Genetics
Applied Mathematics

More information

10.1109/TCBB.2016.2609923

Cite this

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title = "Algorithms for the Majority Rule (+) Consensus Tree and the Frequency Difference Consensus Tree",

abstract = "This article presents two new deterministic algorithms for constructing consensus trees. Given an input of κ phylogenetic trees with identical leaf label sets and n leaves each, the first algorithm constructs the majority rule (+) consensus tree in O(kn) time, which is optimal since the input size is ω (kn) , and the second one constructs the frequency difference consensus tree in μ\lbrace O(kn2), O(kn (k+log2n)) time.",

keywords = "cluster, consensus tree, pairwise compatibility, Phylogenetic tree, tree algorithm",

author = "Jansson, {Jesper Andreas} and Ramesh Rajaby and Chuanqi Shen and Sung, {Wing Kin}",

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Algorithms for the Majority Rule (+) Consensus Tree and the Frequency Difference Consensus Tree. / Jansson, Jesper Andreas; Rajaby, Ramesh; Shen, Chuanqi et al.
In: IEEE/ACM Transactions on Computational Biology and Bioinformatics, Vol. 15, No. 1, 01.01.2018, p. 15-26.

Research output: Journal article publication › Journal article › Academic research › peer-review

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AU - Rajaby, Ramesh

AU - Shen, Chuanqi

AU - Sung, Wing Kin

PY - 2018/1/1

Y1 - 2018/1/1

N2 - This article presents two new deterministic algorithms for constructing consensus trees. Given an input of κ phylogenetic trees with identical leaf label sets and n leaves each, the first algorithm constructs the majority rule (+) consensus tree in O(kn) time, which is optimal since the input size is ω (kn) , and the second one constructs the frequency difference consensus tree in μ\lbrace O(kn2), O(kn (k+log2n)) time.

AB - This article presents two new deterministic algorithms for constructing consensus trees. Given an input of κ phylogenetic trees with identical leaf label sets and n leaves each, the first algorithm constructs the majority rule (+) consensus tree in O(kn) time, which is optimal since the input size is ω (kn) , and the second one constructs the frequency difference consensus tree in μ\lbrace O(kn2), O(kn (k+log2n)) time.

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KW - consensus tree

KW - pairwise compatibility

KW - Phylogenetic tree

KW - tree algorithm

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U2 - 10.1109/TCBB.2016.2609923

DO - 10.1109/TCBB.2016.2609923

M3 - Journal article

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EP - 26

JO - IEEE/ACM Transactions on Computational Biology and Bioinformatics

JF - IEEE/ACM Transactions on Computational Biology and Bioinformatics

IS - 1

ER -

Algorithms for the Majority Rule (+) Consensus Tree and the Frequency Difference Consensus Tree

Abstract

Keywords

ASJC Scopus subject areas

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