English

On the regularity of binomial edge ideals

Commutative Algebra 2013-07-09 v1

Abstract

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

Keywords

Cite

@article{arxiv.1307.2141,
  title  = {On the regularity of binomial edge ideals},
  author = {Viviana Ene and Andrei Zarojanu},
  journal= {arXiv preprint arXiv:1307.2141},
  year   = {2013}
}
R2 v1 2026-06-22T00:47:34.920Z