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Counting cherry reduction sequences is counting linear extensions (in phylogenetic tree-child networks)

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arxiv 2403.14491 v1 pith:52JW4ZXJ submitted 2024-03-21 q-bio.PE

classification q-bio.PE
keywords networknetworksnumberphylogenetictree-childcherriescountingextensions
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Orchard and tree-child networks share an important property with phylogenetic trees: they can be completely reduced to a single node by iteratively deleting cherries and reticulated cherries. As it is the case with phylogenetic trees, the number of ways in which this can be done gives information about the topology of the network. Here, we show that the problem of computing this number in tree-child networks is akin to that of finding the number of linear extensions of the poset induced by each network, and give an algorithm based on this reduction whose complexity is bounded in terms of the level of the network.

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Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Bounds on the Treewidth of Level-k Rooted Phylogenetic Networks

    q-bio.PE 2024-11 conditional novelty 6.0 of 10

    For level-k phylogenetic networks, the paper proves treewidth is at most (k+3)/2, improves this to about k/3 for large k, and shows some level-k networks have treewidth at least k/13.

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