Title
The v-number of edge ideals
Abstract
The aim of this work is to study the v-number of edge ideals of clutters. We relate the v-number with the regularity of edge ideals and classify W2 graphs. If the edge ideal of a graph has second symbolic power Cohen–Macaulay, we show that the graph is edge-critical.
Year
DOI
Venue
2021
10.1016/j.jcta.2020.105310
Journal of Combinatorial Theory, Series A
Keywords
DocType
Volume
v-number,Edge-critical graphs,Edge ideals,Regularity,W2 graphs,Symbolic powers,Cohen–Macaulay ideals
Journal
177
ISSN
Citations 
PageRank 
0097-3165
0
0.34
References 
Authors
0
2
Name
Order
Citations
PageRank
Jaramillo Delio100.34
Rafael H. Villarreal27515.69