Phylogenetic toric varieties on graphs

Details Phylogenetic toric varieties on graphs Phylogenetic toric varieties on graphs

2010-04-07

arxiv.org/abs/1004.1183v2

Mathematics

Algebraic Geometry

36 pages, improved exposition

Scientific paper

We define phylogenetic projective toric model of a trivalent graph as a generalization of a binary symmetric model of a trivalent phylogenetic tree. Generators of the pro- jective coordinate ring of the models of graphs with one cycle are explicitly described. The phylogenetic models of graphs with the same topological invariants are deforma- tion equivalent and share the same Hilbert function. We also provide an algorithm to compute the Hilbert function.

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