A. Higashitani

activity

20092023

most citedArithmetic aspects of symmetric edge polytopes

30 citations · 184 across the 67 of their papers we have counts for

collaborators

Showing 2017 · math.COShow all

2 papers · 2 filters

math.CO2017★ 1 cited

Universal inequalities in Ehrhart Theory

Gabriele Balletti, Akihiro Higashitani

In this paper, we show the existence of universal inequalities for the $h^{*}$ -vector of a lattice polytope P, that is, we show that there are relations among the coefficients of the…

math.CO2017

Existence of regular unimodular triangulations of dilated empty simplices

Takayuki Hibi, Akihiro Higashitani, Koutarou Yoshida

Given integers $k$ and $m$ with $k \geq 2$ and $m \geq 2$ , let $P$ be an empty simplex of dimension $(2 k - 1)$ whose $δ$ -polynomial is of the form $1 + (m - 1) t^{k}$ . In the present paper,…