Ehrhart positivity for a certain class of panhandle matroids

2023/03/07 by Daniel McGinnis, McGinnis, Daniel
Mathematics · Computer Science · #Advanced Combinatorial Mathematics #Graph Labeling and Dimension Problems #Graph theory and applications

paper · pdf · doi:10.48550/arxiv.2303.04113

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 \textrmPan_k,n-2,n, we show that the Ehrhart coefficients are positive.

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