(Generalized) binomial edge ideals and their regularity
arXiv:2508.12607
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.
23 pages. This article was written for the proceedings volume honoring Mel Hochster and Craig Huneke (December 2024). Comments and suggestions are welcome