Osaka Gakuin University

output

19962026

most citedProperties of Nuclear and Neutron Matter and Thermodynamic Consistency in a Nonlinear Mean-field Approximation

14 citations

Showing math.COShow all

5 papers · 1 filter

math.CO2024

Codegree and regularity of stable set polytopes

Koji Matsushita, Akiyoshi Tsuchiya

The codegree $codeg (P)$ of a lattice polytope $P$ is a fundamental invariant in discrete geometry. In the present paper, we investigate the codegree of th…

math.CO2017

Local $h$ -vectors of Quasi-Geometric and Barycentric Subdivisions

Martina Juhnke-Kubitzke, Satoshi Murai, Richard Sieg

In this paper, we answer two questions on local $h$ -vectors, which were asked by Athanasiadis. First, we characterize all possible local $h$ -vectors of quasi-geometric subdivisions…

math.CO2017

The numbers of edges of 5-polytopes with a given number of vertices

Takuya Kusunoki, Satoshi Murai

A basic combinatorial invariant of a convex polytope $P$ is its $f$ -vector $f (P) = (f_{0}, f_{1}, \dots, f_{d i m P - 1})$ , where $f_{i}$ is the number of $i$ -dimensional faces of $P$ . Steinitz…

math.CO2016

Face numbers and the fundamental group

Satoshi Murai, Isabella Novik

We resolve a conjecture of Kalai asserting that the $g_{2}$ -number of any simplicial complex $Δ$ that represents a connected normal pseudomanifold of dimension $d \geq 3$ is at least…

math.CO2015★ 5 cited

Face numbers of manifolds with boundary