Phylogenetic complexity of the Kimura 3-parameter model

2017/04/09 by Michałek, Mateusz, Ventura, Emanuele
#Algebraic Geometry (math.AG) #Combinatorics (math.CO) #Commutative Algebra (math.AC) #FOS: Mathematics

paper · doi:10.48550/arxiv.1704.02584

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.

Related

• Normality of the Kimura 3-parameter model
• Phylogenetic ideals and varieties for the general Markov model
• Geometry of the Kimura 3-parameter model
• Phylogenetic degrees for Jukes-Cantor model
• Toric ideals of phylogenetic invariants