On the Betti Numbers of some Classes of Binomial Edge Ideals

Sohail Zafar, Zohaib Zahid

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


Castelnuovo-Mumford regularity, Betti numbers, binomial edge ideal

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