On the Betti Numbers of some Classes of Binomial Edge Ideals

[摘要] 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

[学科分类] 离散数学和组合数学

[关键词] Castelnuovo-Mumford regularity;Betti numbers;binomial edge ideal