English

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

Commutative Algebra 2026-03-25 v1 Combinatorics

Abstract

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

Keywords

Cite

@article{arxiv.2603.23321,
  title  = {A Characterization of Edge Ideals with $reg(R/I(G)) = 3$},
  author = {Akane Kanno},
  journal= {arXiv preprint arXiv:2603.23321},
  year   = {2026}
}