30 citations · 184 across the 67 of their papers we have counts for
76 papers
Examples and counterexamples in Ehrhart theory
Luis Ferroni, Akihiro Higashitani
This article provides a comprehensive exposition about inequalities that the coefficients of Ehrhart polynomials and -polynomials satisfy under various assumptions. We pay par…
Ehrhart quasi-polynomials and parallel translations
Akihiro Higashitani, Satoshi Murai, Masahiko Yoshinaga
Given a rational polytope , the numerical function counting lattice points in the integral dilations of is known to become a quasi-polynomial, called the…
Adjacency matrices over a finite prime field and their direct sum decompositions
Akihiro Higashitani, Yuya Sugishita
In this paper, we discuss the adjacency matrices of finite undirected simple graphs over a finite prime field . We apply symmetric (row and column) elementary transfo…
Behaviors of pairs of dimensions and depths of edge ideals
Akihiro Higashitani, Akane Kanno, Ryota Ueji
Edge ideals of finite simple graphs on vertices are the ideals of the polynomial ring in variables generated by the quadratic monomials associated with the e…
Fans and polytopes in tilting theory II: -fans of rank 2
Toshitaka Aoki, Akihiro Higashitani, Osamu Iyama +2
The -fan of a finite dimensional algebra is a fan in its real Grothendieck group defined by tilting theory. We give a classification of complete -fans of rank 2. More explici…
Restricted Chain-Order Polytopes via Combinatorial Mutations
Oliver Clarke, Akihiro Higashitani, Francesca Zaffalon
We study restricted chain-order polytopes associated to Young diagrams using combinatorial mutations. These polytopes are obtained by intersecting chain-order polytopes with certai…