Hiroju Kanno

activity

20192021

most citedInduced matching numbers of finite graphs and edge ideals

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

collaborators

Showing math.ACShow all

5 papers · 1 filter

math.AC2021

Inequalities of invariants on Stanley-Reisner rings of Cohen-Macaulay simplicial complexes

Akihiro Higashitani, Hiroju Kanno, Kazunori Matsuda

The goal of the present paper is the study of some algebraic invariants of Stanley-Reisner rings of Cohen-Macaulay simplicial complexes of dimension $d - 1$ . We prove that the ineq…

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

Relation between regularity of powers of edge ideals and (im, reg)-invariant extension

Hiroju Kanno

In this paper, we define (im, reg)-invariant extension of graphs and propose a new approach for Nevo and Peeva's conjecture which said that for any gap-free graph $G$ with $reg(I(G…

math.AC2019

Boij-Soderberg theory for ideals generated by degree 2

Hiroju Kanno

In Boij-Soderberg theory, it is known that for any degree sequence $d$ , there exists a finitely generated module that has a pure resolution of type $d$ . On the ot…

math.AC2019★ 3 cited

Induced matching numbers of finite graphs and edge ideals

Takayuki Hibi, Hiroju Kanno, Kazunori Matsuda

Let $G$ be a finite simple graph on the vertex set $V (G) = {x_{1}, \dots, x_{n}}$ and $I (G) \subset K [V (G)]$ its edge ideal, where $K [V (G)]$ is the polynomial ring in $x_1, \ldots,…