Regularity of Edge Ideals Via Suspension
Commutative Algebra
2019-09-06 v2 Combinatorics
Abstract
We study the Castelnuovo-Mumford regularity of powers of edge ideals. We prove that if G is a bipartite graph, then reg(I(G)^s) \leq 2s + reg I(G) - 2 for all s \geq 2, which is the best possible upper bound for any s. Suspension plays a key role in proof of the base case s =2.
Cite
@article{arxiv.1908.03115,
title = {Regularity of Edge Ideals Via Suspension},
author = {Arindam Banerjee and Eran Nevo},
journal= {arXiv preprint arXiv:1908.03115},
year = {2019}
}