2010/07/19 by Kaie Kubjas, Kubjas, Kaie
Mathematics · #Combinatorics (math.CO) #Commutative Algebra (math.AC) #FOS: Mathematics #math.AC #math.CO
paper · pdf · doi:10.48550/arxiv.1007.3164
5 pages, 2 figures
arxiv created 2010/07/19 · arxiv updated 2010/07/20
Buczyńska and Wiśniewski showed that for the Jukes Cantor binary model of a 3-valent tree the Hilbert polynomial depends only on the number of leaves of the tree and not on its shape. We ask if this can be generalized to other group-based models. In this paper we consider the Kimura 3-parameter model and show that the generalization of the statement about the Hilbert polynomials to the Kimura 3-parameter model is not possible as the Hilbert polynomial depends on the shape of a 3-valent tree.