A short note on the tractability of constructing phylogenetic networks from clusters

Leo van Iersel; Steven Kelk

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arXiv · 0912.4502

A short note on the tractability of constructing phylogenetic networks from clusters

Leo van Iersel·Steven Kelk

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Abstract

In [2] it was proven that the Cass algorithm is a polynomial-time algorithm for constructing level<=2 networks from clusters. Here we demonstrate, for each k>=0, a polynomial-time algorithm for constructing level-k phylogenetic networks from clusters. Unlike Cass the algorithm scheme given here is only of theoretical interest. It does, however, strengthen the hope that efficient polynomial-time algorithms (and perhaps fixed parameter tractable algorithms) exist for this problem.

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Leo van Iersel, Steven Kelk. 2009-12-22. A short note on the tractability of constructing phylogenetic networks from clusters. https://arxiv.org/abs/0912.4502

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