Kazunori Matsuda

activity

20122025

most citedCentrally symmetric configurations of order polytopes

14 citations · 82 across the 27 of their papers we have counts for

collaborators

Showing 2018Show all

4 papers · 1 filter

math.AC2018★ 1 cited

Regularity and $h$ -polynomials of edge ideals

Takayuki Hibi, Kazunori Matsuda, Adam Van Tuyl

For any two integers $d, r \geq 1$ , we show that there exists an edge ideal $I (G)$ such that the $reg (R / I (G))$ , the Castelnuovo-Mumford regularity of $R / I (G)$ , is $…

math.AC2018

Extremal Betti numbers of edge ideals

Takayuki Hibi, Kyouko Kimura, Kazunori Matsuda

Given integers $r$ and $b$ with $1 \leq b \leq r$ , a finite simple connected graph $G$ for which $reg (S / I (G)) = r$ and the number of extremal Betti numbers of $S / I (G)$ is equ…

math.AC2018★ 7 cited

Regularity and h-polynomials of binomial edge ideals

Takayuki Hibi, Kazunori Matsuda

Let $G$ be a finite simple graph on the vertex set $[n] = {1, \dots, n}$ and $K [X, Y] = K [x_{1}, \dots, x_{n}, y_{1}, \dots, y_{n}]$ the polynomial ring in $2 n$ variables over a fie…

math.AC2018★ 1 cited

Lexsegment ideals and their h-polynomials

Takayuki Hibi, Kazunori Matsuda

Let $S = K [x_{1}, \dots, x_{n}]$ denote the polynomial ring in $n$ variables over a field $K$ with each $deg x_{i} = 1$ and $I \subset S$ a homogeneous ideal of $S$ with $\dim…

Regularity and h-polynomials of edge ideals

Extremal Betti numbers of edge ideals

Regularity and h-polynomials of binomial edge ideals

Lexsegment ideals and their h-polynomials

Regularity and $h$ -polynomials of edge ideals