The depth function of powers of cover ideals of path graphs
Commutative Algebra
2026-05-06 v1
Abstract
Let be a path graph with cover ideal . By using Hochster's depth formula, we prove the explicit formulae to compute the depth functions of powers of cover ideals of paths.
Cite
@article{arxiv.2605.03347,
title = {The depth function of powers of cover ideals of path graphs},
author = {Tran Duc Dung and Nguyen Thu Hang and Pham Hong Nam and Nguyen Thi Thanh Tam},
journal= {arXiv preprint arXiv:2605.03347},
year = {2026}
}