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math.CO2020★ 3 cited
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.CO2020★ 19 cited
On the Ehrhart Polynomial of Minimal Matroids
Luis Ferroni
We provide a formula for the Ehrhart polynomial of the connected matroid of size and rank with the least number of bases, also known as a minimal matroid. We prove that the…