Markov random fields and iterated toric fibre products
Commutative Algebra
2018-02-08 v2 Statistics Theory
Statistics Theory
Abstract
We prove that iterated toric fibre products from a finite collection of toric varieties are defined by binomials of uniformly bounded degree. This implies that Markov random fields built up from a finite collection of finite graphs have uniformly bounded Markov degree.
Keywords
Cite
@article{arxiv.1612.06737,
title = {Markov random fields and iterated toric fibre products},
author = {Jan Draisma and Florian M. Oosterhof},
journal= {arXiv preprint arXiv:1612.06737},
year = {2018}
}
Comments
several improvements, final version