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arXiv · 2201.10501

Ehrhart theory of symmetric edge polytopes via ribbon structures

Tamás Kálmán·Lilla Tóthmérész
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Abstract

Using a ribbon structure of the graph, we construct a dissection of the symmetric edge polytope of a graph into unimodular simplices. Our dissection is shellable, and one can interpret the elements of the resulting $h$-vector via graph theory. This gives an elementary method for computing the $h^*$-vector of the symmetric edge polytope.

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Tamás Kálmán, Lilla Tóthmérész. 2022-01-25. Ehrhart theory of symmetric edge polytopes via ribbon structures. https://arxiv.org/abs/2201.10501

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