4 citations · 5 across the 6 of their papers we have counts for
7 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…
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…
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…
The number of -cycles and the cyclomatic number of a finite simple graph
Takayuki Hibi, Aki Mori, Hidefumi Ohsugi
Let be a finite connected simple graph with vertices and edges. We show that, when is not bipartite, the number of -cycles contained in is at most $\binom{m-…
Multibasic Ehrhart theory
Aki Mori, Takeshi Morita, Akihiro Shikama
In the present paper, we introduce a multibasic extension of the Ehrhart theory. We give a multibasic extension of Ehrhart polynomials and Ehrhart series. We also show that an anal…
The number of edges of the edge polytope of a finite simple graph
Takayuki Hibi, Aki Mori, Hidefumi Ohsugi +1
Let be an integer. It is known that the number of edges of the edge polytope of the complete graph with vertices is . In this paper, we study the maxi…