T. Hibi

activity

20032023

most citedSpecial simplices and Gorenstein toric rings

65 citations · 613 across the 138 of their papers we have counts for

collaborators

Showing 2020Show all

7 papers · 1 filter

math.AC2020

Componentwise linear powers and the $x$ -condition

Jürgen Herzog, Takayuki Hibi, Somayeh Moradi

Let $S = K [x_{1}, \dots, x_{n}]$ be the polynomial ring over a field and $A$ a standard graded $S$ -algebra. In terms of the Gröbner basis of the defining ideal $J$ of $A$ we give a condit…

math.AC2020★ 1 cited

Homological invariants of Cameron--Walker graphs

Takayuki Hibi, Hiroju Kanno, Kyouko Kimura +2

Let $G$ be a finite simple connected graph on $[n]$ and $R = K [x_{1}, \dots, x_{n}]$ the polynomial ring in $n$ variables over a field $K$ . The edge ideal of $G$ is the ideal $I (G)$ o…

math.AC2020★ 20 cited

Canonical trace ideal and residue for numerical semigroup rings

Jürgen Herzog, Takayuki Hibi, Dumitru I. Stamate

For a numerical semigroup ring $K [H]$ we study the trace of its canonical ideal. The colength of this ideal is called the residue of $H$ . This invariant measures how far is $H$ fro…

math.AC2020

The $N F$ -Number of a Simplicial Complex

Takayuki Hibi, Hasan Mahmood

Let $Δ$ be a simplicial complex on $[n]$ . The $N F$ -complex of $Δ$ is the simplicial complex $δ_{N F} (Δ)$ on $[n]$ for which the facet ideal o…

math.CO2020

The regularity and $h$ -polynomial of Cameron-Walker graphs

Takayuki Hibi, Kyouko Kimura, Kazunori Matsuda +1

Fix an integer $n \geq 1$ , and consider the set of all connected finite simple graphs on $n$ vertices. For each $G$ in this set, let $I (G)$ denote the edge ideal of $G$ in the poly…

math.CO2020

Max Min vertex cover and the size of Betti tables

Huy Tai Ha, Takayuki Hibi

Let $G$ be a finite simple graph on $n$ vertices, that contains no isolated vertices, and let $I (G) \subseteq S = K [x_{1}, \dots, x_{n}]$ be its edge ideal. In this paper, we study the…

Componentwise linear powers and the x-condition