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arXiv · 1207.6090

A simple fixed parameter tractable algorithm for computing the hybridization number of two (not necessarily binary) trees

Teresa Piovesan·Steven Kelk
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Abstract

Here we present a new fixed parameter tractable algorithm to compute the hybridization number r of two rooted, not necessarily binary phylogenetic trees on taxon set X in time (6^r.r!).poly(n)$, where n=|X|. The novelty of this approach is its use of terminals, which are maximal elements of a natural partial order on X, and several insights from the softwired clusters literature. This yields a surprisingly simple and practical bounded-search algorithm and offers an alternative perspective on the underlying combinatorial structure of the hybridization number problem.

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Teresa Piovesan, Steven Kelk. 2012-07-25. A simple fixed parameter tractable algorithm for computing the hybridization number of two (not necessarily binary) trees. https://arxiv.org/abs/1207.6090

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