English

Phylogenetic degrees for Jukes-Cantor model

Algebraic Geometry 2024-05-31 v1 Combinatorics Populations and Evolution

Abstract

Jukes-Cantor model is one of the most meaningful statistical models from a biological perspective. We are interested in computing the algebraic degrees for phylogenetic varieties, which we call phylogenetic degrees, associated to the Jukes-Cantor model and any tree. As these varieties are toric, their geometry is hidden in the associated polytopes. For this reason, we provide two different combinatorial approaches to compute the volume for these polytopes.

Keywords

Cite

@article{arxiv.2405.20184,
  title  = {Phylogenetic degrees for Jukes-Cantor model},
  author = {Rodica Andreea Dinu and Martin Vodička},
  journal= {arXiv preprint arXiv:2405.20184},
  year   = {2024}
}
R2 v1 2026-06-28T16:47:23.487Z