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 2014 · math.COShow all

3 papers · 2 filters

math.CO2014★ 1 cited

Dominating induced matchings of finite graphs and regularity of edge ideals

Takayuki Hibi, Akihiro Higashitani, Kyouko Kimura +1

The regularity of an edge ideal of a finite simple graph $G$ is at least the induced matching number of $G$ and is at most the minimum matching number of $G$ . If $G$ possesses a do…

math.CO2014

Unimodality on $δ$ -vectors of lattice polytopes and two related properties

Akihiro Higashitani

In this paper, we investigate two properties concerning the unimodality of the $δ$ -vectors of lattice polytopes, which are log-concavity and alternatingly increasingness. For latti…

math.CO2014

Integer decomposition property of free sums of convex polytopes

Takayuki Hibi, Akihiro Higashitani

Let $P \subset R^{d}$ and $Q \subset R^{e}$ be integral convex polytopes of dimension $d$ and $e$ which contain the origin of $R^{d}$ a…

Dominating induced matchings of finite graphs and regularity of edge ideals

Unimodality on δ-vectors of lattice polytopes and two related properties

Integer decomposition property of free sums of convex polytopes

Unimodality on $δ$ -vectors of lattice polytopes and two related properties