On the Betti Numbers of some Classes of Binomial Edge Ideals

  • Sohail Zafar
  • Zohaib Zahid
DOI: https://doi.org/10.37236/3689
Keywords: Castelnuovo-Mumford regularity, Betti numbers, binomial edge ideal

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.

Published
2013-12-20
Issue
Volume 20, Issue 4 (2013)
Article Number
P37