Integer point enumeration on independence polytopes and half-open hypersimplices
Combinatorics
2021-05-24 v1
Abstract
In this paper we investigate the Ehrhart Theory of the independence matroid polytope of uniform matroids. It is proved that these polytopes have an Ehrhart polynomial with positive coefficients. To do that, we prove that indeed all half-open-hypersimplices are Ehrhart positive, and tile disjointly our polytope using them.
Cite
@article{arxiv.2012.04711,
title = {Integer point enumeration on independence polytopes and half-open hypersimplices},
author = {Luis Ferroni},
journal= {arXiv preprint arXiv:2012.04711},
year = {2021}
}
Comments
7 pages