(Generalized) binomial edge ideals and their regularity
A. V. Jayanthan, Arvind Kumar
TL;DR
This paper surveys recent advances in understanding the Castelnuovo-Mumford regularity of binomial and generalized binomial edge ideals, and extends known upper bounds to the generalized case.
Contribution
It generalizes existing upper bounds for binomial edge ideals to the broader class of generalized binomial edge ideals.
Findings
Summarizes recent results on regularity of binomial edge ideals.
Extends upper bounds to generalized binomial edge ideals.
Provides a comprehensive survey of the topic.
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.
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Taxonomy
TopicsCommutative Algebra and Its Applications · Polynomial and algebraic computation · Rings, Modules, and Algebras