Ehrhart theory of symmetric edge polytopes via ribbon structures

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 $h^*$-...

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Hauptverfasser: Kálmán, Tamás, Tóthmérész, Lilla
Format: Artikel
Sprache:eng
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Zusammenfassung: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.
DOI:10.48550/arxiv.2201.10501