English

On the Betti numbers of some classes of Binomial edge ideals

Commutative Algebra 2013-10-16 v1

Abstract

We study the Betti numbers of binomial edge ideal associated to some classes of graphs with large Castelnuovo-Mumford regularity. As an application we give several lower bounds of the Castelnuovo-Mumford regularity of arbitrary graphs depending on induced subgraphs.

Keywords

Cite

@article{arxiv.1310.3981,
  title  = {On the Betti numbers of some classes of Binomial edge ideals},
  author = {Zohaib Zahid and Sohail Zafar},
  journal= {arXiv preprint arXiv:1310.3981},
  year   = {2013}
}