Depth stability of cover ideals
Commutative Algebra
2022-10-19 v1 Combinatorics
Abstract
Let R = K[x1,...,xr] be a polynomial ring over a field K. Let G be a graph with vertex set {1,...,r} and let J be the cover ideal of G. We give a sharp bound for the stability index of symbolic depth function sdstab(J). In the case G is bipartite, it yields a sharp bound for the stability index of depth function dstab(J) and this bound is exact if G is a forest.
Keywords
Cite
@article{arxiv.2210.09528,
title = {Depth stability of cover ideals},
author = {Mai Phuoc Binh and Nguyen Thu Hang and Truong Thi Hien and Tran Nam Trung},
journal= {arXiv preprint arXiv:2210.09528},
year = {2022}
}
Comments
4 figures