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arXiv · 1007.3164

Hilbert polynomial of the Kimura 3-parameter model

Kaie Kubjas
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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.

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Kaie Kubjas. 2010-07-19. Hilbert polynomial of the Kimura 3-parameter model. https://arxiv.org/abs/1007.3164

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