Akane Kanno

most citedBehaviors of pairs of dimensions and depths of edge ideals

1 citations · 1 across the 3 of their papers we have counts for

collaborators

3 papers

math.AC2026

A Characterization of Edge Ideals with $r e g (R / I (G)) = 3$

Akane Kanno

Let $G$ be a graph and $I (G)$ its edge ideal. In this paper, we give a complete characterization of the graphs $G$ for which $\reg(R/I(G)) = 3$.

math.AC2023

Tuples of homological invariants of edge ideals

Akane Kanno

Let $G$ be a graph and $I (G)$ its edge ideal. In this paper, we completely determine the tuples $(\dim R/I(G), \depth (R/I(G)), \reg (R/I(G)))$ when the number of vertices is fixed…

math.AC2023★ 1 cited

Behaviors of pairs of dimensions and depths of edge ideals

Akihiro Higashitani, Akane Kanno, Ryota Ueji

Edge ideals of finite simple graphs $G$ on $n$ vertices are the ideals $I (G)$ of the polynomial ring $S$ in $n$ variables generated by the quadratic monomials associated with the e…

A Characterization of Edge Ideals with reg(R/I(G))=3

Tuples of homological invariants of edge ideals

Behaviors of pairs of dimensions and depths of edge ideals

A Characterization of Edge Ideals with $r e g (R / I (G)) = 3$