On a regularity-conjecture of generalized binomial edge ideals
Commutative Algebra
2025-12-02 v1 Combinatorics
Rings and Algebras
Abstract
In this paper, we prove the upper bound conjecture proposed by Saeedi Madani \& Kiani on the Castelnuovo-Mumford regularity of generalized binomial edge ideals. We give a combinatorial upper bound of regularity for generalized binomial edge ideals, which is better than the bound claimed in that conjecture. Also, we show that the bound is tight by providing an infinite class of graphs.
Cite
@article{arxiv.2512.01527,
title = {On a regularity-conjecture of generalized binomial edge ideals},
author = {Anuvinda J and Ranjana Mehta and Kamalesh Saha},
journal= {arXiv preprint arXiv:2512.01527},
year = {2025}
}
Comments
Published online in 2024 in Collectanea Mathematica