K. Yoshida

activity

20132017

most citedEhrhart polynomials with negative coefficients

4 citations · 5 across the 4 of their papers we have counts for

collaborators

4 papers

math.CO2017★ 1 cited

Gorenstein simplices with a given $δ$ -polynomial

Takayuki Hibi, Akiyoshi Tsuchiya, Koutarou Yoshida

To classify the lattice polytopes with a given $δ$ -polynomial is an important open problem in Ehrhart theory. A complete classification of the Gorenstein simplices whose normalized…

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,…

math.CO2015★ 4 cited

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

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…

Gorenstein simplices with a given δ-polynomial

Existence of regular unimodular triangulations of dilated empty simplices

Ehrhart polynomials with negative coefficients

Ehrhart polynomials with negative coefficients

Gorenstein simplices with a given $δ$ -polynomial