T. Hibi

collaborators

3 papers

math.AC2025

Bounded powers of edge ideals: Gorenstein polytopes

Takayuki Hibi, Seyed Amin Seyed Fakhari

Let $S = K [x_{1}, \dots, x_{n}]$ denote the polynomial ring in $n$ variables over a field $K$ and $I (G) \subset S$ the edge ideal of a finite graph $G$ on $n$ vertices. Given a vector $\…

math.AC2025

Bounded powers of edge ideals: regularity and linear quotients

Takayuki Hibi, Seyed Amin Seyed Fakhari

Let $S = K [x_{1}, \dots, x_{n}]$ denote the polynomial ring in $n$ variables over a field $K$ and let $I \subset S$ be a monomial ideal. For a vector $c \in N^{n}$ , we se…

math.CO2024

Diameter and connectivity of finite simple graphs II

Takayuki Hibi, Sara Saeedi Madani

Let $G$ be a finite simple non-complete connected graph on $[n] = {1, \dots, n}$ and $κ (G) \geq 1$ its vertex connectivity. Let $f (G)$ denote the number of free vertices of $G$ …