Geodesic
Embedding phylogenetic trees in networks of low treewidth
Discrete mathematics & theoretical computer science, Tome 25 (2023-2024) no. 2.

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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.
DOI : 10.46298/dmtcs.10116
Classification : 05C05, 05C82, 68Q25 
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van Iersel, Leo; Jones, Mark; Weller, Mathias. Embedding phylogenetic trees in networks of low treewidth. Discrete mathematics & theoretical computer science, Tome 25 (2023-2024) no. 2. doi : 10.46298/dmtcs.10116. http://geodesic.mathdoc.fr/articles/10.46298/dmtcs.10116/

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