Ehrhart positivity for a certain class of panhandle matroids

Abstract

We give a combinatorial formula for the Ehrhart coefficients of a certain class of weighted multi-hypersimplices. In a special case, where these polytopes coincide with the base polytope of the panhandle matroid ${\text{Pan}}_{k,n-2,n}$, we show that the Ehrhart coefficients are positive.

arXiv comment15 pages, minor revisions