2 papers
math.AC2025
(Generalized) binomial edge ideals and their regularity
A. V. Jayanthan, Arvind Kumar
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 kno…
math.AC2025
Binomial edge ideals of crown graphs
Arvind Kumar, Joshua Pomeroy, Le Tran
In this article, we explore the class of graphs for which the projective dimension of the quotient of the binomial edge ideals matches the big height of that ideal. Additionally, w…