(Generalized) binomial edge ideals and their regularity
Commutative Algebra
2025-08-19 v1 Combinatorics
Abstract
In this article, we survey the recent results on the Castelnuovo-Mumford regularity of binomial edge ideals and generalized binomial edge ideals. We also generalize some of the known upper bounds for binomial edge ideals to the case of generalized binomial edge ideals.
Cite
@article{arxiv.2508.12607,
title = {(Generalized) binomial edge ideals and their regularity},
author = {A. V. Jayanthan and Arvind Kumar},
journal= {arXiv preprint arXiv:2508.12607},
year = {2025}
}
Comments
23 pages. This article was written for the proceedings volume honoring Mel Hochster and Craig Huneke (December 2024). Comments and suggestions are welcome