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arXiv · 1610.00505

On the Weighted Quartet Consensus problem

Manuel Lafond·Céline Scornavacca
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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.

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Manuel Lafond, Céline Scornavacca. 2016-10-03. On the Weighted Quartet Consensus problem. https://arxiv.org/abs/1610.00505

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