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arXiv · 2207.00574

Embedding phylogenetic trees in networks of low treewidth

Leo van Iersel·Mark Jones·Mathias Weller
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Abstract

Given a rooted, binary phylogenetic network and a rooted, binary phylogenetic tree, can the tree be embedded into the network? This problem, called \textsc{Tree Containment}, arises when validating networks constructed by phylogenetic inference methods.We present the first algorithm for (rooted) \textsc{Tree Containment} using the treewidth $t$ of the input network $N$ as parameter, showing that the problem can be solved in $2^{O(t^2)}\cdot|N|$ time and space.

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Leo van Iersel, Mark Jones, Mathias Weller. 2022-07-01. Embedding phylogenetic trees in networks of low treewidth. https://doi.org/10.46298/dmtcs.10116

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