Gorenstein property for phylogenetic trivalent trees

We study the Gorenstein property for phylogenetic group-based models. We prove that for the groups \(\mathbb Z_3\) and \(\mathbb Z_2\times \mathbb Z_2\) and trivalent trees the associated polytopes are always Gorenstein extending the results of Buczyńska and Wiśniewski for the group \(\mathbb Z_2\)....

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Bibliographic Details
Published in:arXiv.org 2020-03
Main Authors: Dinu, Rodica, Vodička, Martin
Format: Article
Language:English
Subjects:
Phylogenetics
Polytopes
Trees
Online Access:Get full text
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Summary:We study the Gorenstein property for phylogenetic group-based models. We prove that for the groups \(\mathbb Z_3\) and \(\mathbb Z_2\times \mathbb Z_2\) and trivalent trees the associated polytopes are always Gorenstein extending the results of Buczyńska and Wiśniewski for the group \(\mathbb Z_2\).
ISSN:2331-8422