Toric rings arising from vertex cover ideals
Commutative Algebra
2022-09-23 v1 Combinatorics
Abstract
We extend the sortability concept to monomial ideals which are not necessarily generated in one degree and as an application we obtain normal Cohen-Macaulay toric rings attached to vertex cover ideals of graphs. Moreover, we consider a construction on a graph called a clique multi-whiskering which always produces vertex cover ideals with componentwise linear powers.
Keywords
Cite
@article{arxiv.2209.10799,
title = {Toric rings arising from vertex cover ideals},
author = {Jürgen Herzog and Takayuki Hibi and Somayeh Moradi},
journal= {arXiv preprint arXiv:2209.10799},
year = {2022}
}