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arXiv · 2210.09528

Depth stability of cover ideals

Mai Phuoc Binh·Nguyen Thu Hang·Truong Thi Hien·Tran Nam Trung
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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.

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Mai Phuoc Binh, Nguyen Thu Hang, Truong Thi Hien, Tran Nam Trung. 2022-10-18. Depth stability of cover ideals. https://arxiv.org/abs/2210.09528

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