On the regularity of binomial edge ideals

Abstract

We study the regularity of binomial edge ideals. For a closed graph $G$ we show that the regularity of the binomial edge ideal $J_G$ coincides with the regularity of $\ini_{\lex}(J_G)$ and can be expressed in terms of the combinatorial data of $G.$ In addition, we give positive answers to Matsuda-Murai conjecture for some classes of graphs.

References in corpus (3)

• On approximately Cohen-Macaulay binomial edge ideal
• On closed graphs II
• Construction of Cohen-Macaulay binomial edge ideals

Cited by in corpus (2)

• The regularity of binomial edge ideals of graphs
• Binomial edge ideals with pure resolutions