Hilbert polynomial of the Kimura 3-parameter model
Commutative Algebra
2010-07-20 v1 Combinatorics
Abstract
Buczy\'{n}ska and Wi\'{s}niewski 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.
Keywords
Cite
@article{arxiv.1007.3164,
title = {Hilbert polynomial of the Kimura 3-parameter model},
author = {Kaie Kubjas},
journal= {arXiv preprint arXiv:1007.3164},
year = {2010}
}
Comments
5 pages, 2 figures