English

Gorenstein property for phylogenetic trivalent trees

Combinatorics 2020-03-11 v1 Algebraic Geometry

Abstract

We study the Gorenstein property for phylogenetic group-based models. We prove that for the groups Z3\mathbb Z_3 and Z2×Z2\mathbb Z_2\times \mathbb Z_2 and trivalent trees the associated polytopes are always Gorenstein extending the results of Buczy\'nska and Wi\'sniewski for the group Z2\mathbb Z_2.

Cite

@article{arxiv.2003.04751,
  title  = {Gorenstein property for phylogenetic trivalent trees},
  author = {Rodica Dinu and Martin Vodička},
  journal= {arXiv preprint arXiv:2003.04751},
  year   = {2020}
}
R2 v1 2026-06-23T14:10:13.905Z