Akane Kanno

most citedBehaviors of pairs of dimensions and depths of edge ideals

1 citations · 1 across the 2 of their papers we have counts for

collaborators

2 papers

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…