On the Betti Numbers of some Classes of Binomial Edge Ideals
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.