5 citations · 17 across the 13 of their papers we have counts for
4 papers · 1 filter
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 numbers of edges of the order polytope and the chain poyltope of a finite partially ordered set
Takayuki Hibi, Nan Li, Yoshimi Sahara +1
Let be an arbitrary finite partially ordered set. It will be proved that the number of edges of the order polytope is equal to that of the chain polytope ${\m…
Decomposable edge polytopes of finite graphs
Atsushi Funato, Nan Li, Akihiro Shikama
Edge polytopes is a class of interesting polytope with rich algebraic and combinatorial properties, which was introduced by Ohsugi and Hibi. In this papar, we follow a previous stu…
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…