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 2013Show all

3 papers · 1 filter

math.CO2013

Ehrhart polynomials with negative coefficients

Takayuki Hibi, Akihiro Higashitani, Akiyoshi Tsuchiya +1

It is shown that, for each $d \geq 4$ , there exists an integral convex polytope $P$ of dimension $d$ such that each of the coefficients of $n, n^{2}, \dots, n^{d - 2}$ of…

math.CO2013

Minkowski sum of polytopes and its normality

Akihiro Higashitani

In this paper, we consider the normality or the integer decomposition property (IDP, for short) for Minkowski sums of integral convex polytopes. We discuss some properties on the t…

math.AC2013★ 2 cited

Algebraic study on Cameron-Walker graphs

Takayuki Hibi, Akihiro Higashitani, Kyouko Kimura +1

Let $G$ be a finite simple graph on $[n]$ and $I (G) \subset S$ the edge ideal of $G$ , where $S = K [x_{1}, \dots, x_{n}]$ is the polynomial ring over a field $K$ . Let $m (G)$ denote…