English

The v-number of edge ideals

Commutative Algebra 2020-09-10 v1 Combinatorics

Abstract

The aim of this work is to study the v-number of edge ideals of clutters and graphs. We relate the v-number with the regularity of edge ideals and study the combinatorial structure of the graphs whose edge ideals have their second symbolic power Cohen-Macaulay.

Keywords

Cite

@article{arxiv.2001.06861,
  title  = {The v-number of edge ideals},
  author = {Delio Jaramillo and Rafael H. Villarreal},
  journal= {arXiv preprint arXiv:2001.06861},
  year   = {2020}
}