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- W2590122013 abstract "We consider the NP-hard Tree Containment problem that has important applications in phylogenetics. The problem asks if a given single-rooted leaf-labeled network (“phylogenetic network”) N “contains” a given leaf-labeled tree (“phylogenetic tree”) T. We develop a fast algorithm for the case that N is a phylogenetic tree in which multiple leaves might share a label. Generalizing a previously known decomposition scheme lets us leverage this algorithm, yielding linear-time algorithms for so-called “reticulation visible” networks and“nearly stable” networks. While these are special classes of networks, they rank among the most general of the previously considered cases. We also present a dynamic programming algorithm that solves the general problem in $$O(3^{t^*}cdot |N|cdot |T|)$$ time, where the parameter $$t^*$$ is the maximum number of “tree components with unstable roots” in any block of the input network. Notably, $$t^*$$ is stronger (that is, smaller on all networks) than the previously considered parameter “number of reticulations” and even the popular parameter “level” of the input network." @default.
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- W2590122013 date "2018-01-01" @default.
- W2590122013 modified "2023-10-16" @default.
- W2590122013 title "Linear-Time Tree Containment in Phylogenetic Networks" @default.
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- W2590122013 doi "https://doi.org/10.1007/978-3-030-00834-5_18" @default.
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