Ginji Hamano

activity

20142024

most citedEhrhart series of fractional stable set polytopes of finite graphs

1 citations · 1 across the 5 of their papers we have counts for

collaborators

5 papers

math.CO2024

Lattice polytopes with the minimal volume

Ginji Hamano, Ichiro Sainose, Takayuki Hibi

Let $P \subset R^{d}$ be a lattice polytope of dimension $d$ . Let $b (P)$ denote the number of lattice points belonging to the boundary of $P$ a…

math.CO2023

The minimal volume of a lattice polytope

Ichiro Sainose, Ginji Hamano, Tatsuo Emura +1

Let $P \subset R^{d}$ be a lattice polytope of dimension $d$ . Let $b$ denote the number of lattice points belonging to the boundary of $P$ and $c$ that t…

math.CO2016★ 1 cited

Ehrhart series of fractional stable set polytopes of finite graphs

Ginji Hamano, Takayuki Hibi, Hidefumi Ohsugi

The fractional stable set polytope $FRAC (G)$ of a simple graph $G$ with $d$ vertices is a rational polytope that is the set of nonnegative vectors $(x_{1}, \dots, x_{d})$ satisfyi…

math.GM2015

Minimal non-face of the triangulations

Ginji Hamano

In this paper, we discuss about the minimal non-faces of the triangulations $Δ^{d}$ by the path of the standard unit $d$ -cube. Moreover, we will show that $Δ^{d}$ is shellable and the…

math.CO2014

Existence of a regular unimodular triangulation of the edge polytopes of finite graphs

Ginji Hamano

In this paper we give several criteria for the edge polytope of a fundamental FHM-graph to possess a regular unimodular triangulation in terms of some simple data of the the graph.…