Extremal Betti numbers of some classes of binomial edge ideals

Abstract

Let $G$ be a cycle or a complete bipartite graph. We show that the binomial edge ideal $J_G$ and its initial ideal with respect to the lexicographic order have the same extremal Betti number.

References in corpus (1)

• On approximately Cohen-Macaulay binomial edge ideal

Cited by in corpus (4)

• The regularity of binomial edge ideals of graphs
• The Castelnuovo-Mumford regularity of binomial edge ideals
• On The Generalized Binomial Edge Ideals of Generalized Block Graphs
• Binomial edge ideals with pure resolutions