Ehrhart theory of symmetric edge polytopes via ribbon structures
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.
 Publication:

arXiv eprints
 Pub Date:
 January 2022
 arXiv:
 arXiv:2201.10501
 Bibcode:
 2022arXiv220110501K
 Keywords:

 Mathematics  Combinatorics;
 52B20;
 52B22;
 05C31;
 52B40