The Castelnuovo-Mumford regularity of binomial edge ideals
Commutative Algebra
2015-04-08 v1 Combinatorics
Abstract
We prove a conjectured upper bound for the Castelnuovo-Mumford regularity of binomial edge ideals of graphs, due to Matsuda and Murai. Indeed, we prove that for any graph with vertices, which is not a path. Moreover, we study the behavior of the regularity of binomial edge ideals under the join product of graphs.
Keywords
Cite
@article{arxiv.1504.01403,
title = {The Castelnuovo-Mumford regularity of binomial edge ideals},
author = {Dariush Kiani and Sara Saeedi Madani},
journal= {arXiv preprint arXiv:1504.01403},
year = {2015}
}
Comments
arXiv admin note: substantial text overlap with arXiv:1310.6126