The three-state toric homogeneous Markov chain model has Markov degree two
Statistics Theory
2013-03-04 v4 Commutative Algebra
Combinatorics
Statistics Theory
Abstract
We prove that the three-state toric homogenous Markov chain model has Markov degree two. In algebraic terminology this means, that a certain class of toric ideals are generated by quadratic binomials. This was conjectured by Haws, Martin del Campo, Takemura and Yoshida, who proved that they are generated by binomials of degree six or less.
Keywords
Cite
@article{arxiv.1207.0077,
title = {The three-state toric homogeneous Markov chain model has Markov degree two},
author = {Patrik Norén},
journal= {arXiv preprint arXiv:1207.0077},
year = {2013}
}
Comments
Updated language and notation. 13pages