4 papers
Minkowski decomposability of symmetric edge polytopes
Akihiro Higashitani, Aki Mori
In this paper, we study the Minkowski decomposability of symmetric edge polytopes of a finite simple graph on vertex set . More precisely, we give a complete cha…
Facet numbers of non-centrally symmetric reflexive polytopes arising from posets
Aki Mori, Kenta Mori, Hidefumi Ohsugi
Twinned chain polytopes form a broad class of non-centrally symmetric reflexive polytopes and exhibit intriguing structures. In the present paper, we show that the number of facets…
Simplex faces of order and chain polytopes
Aki Mori
It will be proved that a -clique in the -skeleton of either the order polytope or the chain polytope corresponds to the -face, which is a simplex, in each polytope. Th…
Number of facets of symmetric edge polytopes arising from join graphs
Aki Mori, Kenta Mori, Hidefumi Ohsugi
Symmetric edge polytopes of graphs are important object in Ehrhart theory,and have an application to Kuramoto models. In the present paper, we study the upper and lower bounds for…