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Phylogenetic degrees for claw trees

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2024

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Journal of Combinatorial Theory, Series A. Elsevier. 2024, 206, 105886. ISSN 0097-3165. eISSN 1096-0899. Verfügbar unter: doi: 10.1016/j.jcta.2024.105886

Zusammenfassung

Group-based models appear in algebraic statistics as mathematical models coming from evolutionary biology, namely in the study of mutations of genomes. Motivated also by applications, we are interested in determining the algebraic degrees of the phylogenetic varieties coming from these models. These algebraic degrees are called phylogenetic degrees. In this paper, we compute the phylogenetic degree of the variety XG,n with G ∈{Z2, Z2×Z2, Z3} and any n-claw tree. As these varieties are toric, computing their phylogenetic degree relies on computing the volume of their associated polytopes PG,n. We apply combinatorial methods and we give concrete formulas for these volumes.

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510 Mathematik

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Group-based model, Algebraic degree of a variety, Polytope, Volume

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ISO 690DINU, Rodica, Martin VODICKA, 2024. Phylogenetic degrees for claw trees. In: Journal of Combinatorial Theory, Series A. Elsevier. 2024, 206, 105886. ISSN 0097-3165. eISSN 1096-0899. Verfügbar unter: doi: 10.1016/j.jcta.2024.105886
BibTex
@article{Dinu2024-08Phylo-70739,
  year={2024},
  doi={10.1016/j.jcta.2024.105886},
  title={Phylogenetic degrees for claw trees},
  volume={206},
  issn={0097-3165},
  journal={Journal of Combinatorial Theory, Series A},
  author={Dinu, Rodica and Vodicka, Martin},
  note={Article Number: 105886}
}
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