Application of Betti Splittings to the Regularity of Binomial Edge Ideals
Commutative Algebra
2025-05-01 v1
Abstract
In this paper, we use Betti splittings of binomial edge ideals to establish improved upper and lower bounds for their regularity in the case of trees. As a consequence, we determine the exact regularity for certain classes of trees.
Cite
@article{arxiv.2504.21550,
title = {Application of Betti Splittings to the Regularity of Binomial Edge Ideals},
author = {Rajiv Kumar and Paramhans Kushwaha},
journal= {arXiv preprint arXiv:2504.21550},
year = {2025}
}