3 papers
math.CO2023
Examples and counterexamples in Ehrhart theory
Luis Ferroni, Akihiro Higashitani
This article provides a comprehensive exposition about inequalities that the coefficients of Ehrhart polynomials and -polynomials satisfy under various assumptions. We pay par…
math.CO2020
Integer point enumeration on independence polytopes and half-open hypersimplices
Luis Ferroni
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…
math.CO2019
Hypersimplices are Ehrhart Positive
Luis Ferroni
We consider the Ehrhart polynomial of hypersimplices. It is proved that these polynomials have positive coefficients and we give a combinatorial formula for each of them. This sett…