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MiS Preprint Repository

We have decided to discontinue the publication of preprints on our preprint server as of 1 March 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV (www.arxiv.org) that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.

MiS Preprint
27/2017

Phylogenetic complexity of the 3-Kimura model

Mateusz Michałek and Emanuele Ventura

Abstract

In algebraic statistics, the Kimura 3-parameter model is one of the most interesting and classical phylogenetic models. We prove that the ideals associated to this model are generated in degree four, confirming a conjecture by Sturmfels and Sullivant.

Received:
Apr 11, 2017
Published:
May 8, 2017
MSC Codes:
52B20, 14M25, 13P25
Keywords:
Phylogenetics, Kimura 3-parameter model, Convex polytopes

Related publications

inJournal
2019 Repository Open Access
Mateusz Michałek and Emanuele Ventura

Phylogenetic complexity of the Kimura 3-parameter model

In: Advances in mathematics, 343 (2019), pp. 640-680