Phylogenetic complexity of the 3-Kimura model
Mateusz Michałek and Emanuele Ventura
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Submission date: 11. Apr. 2017
MSC-Numbers: 52B20, 14M25, 13P25
Keywords and phrases: Phylogenetics, Kimura 3-parameter model, Convex polytopes
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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.