On the Betti numbers of some classes of Binomial edge ideals

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.

References in corpus (3)

• Cohen-Macaulay binomial edge ideals of small deviation
• On approximately Cohen-Macaulay binomial edge ideal
• Regularity bounds for binomial edge ideals

Cited by in corpus (1)

• The regularity of binomial edge ideals of graphs