English

Regularity bounds for binomial edge ideals

Commutative Algebra 2012-08-14 v1

Abstract

We show that the Castelnuovo-Mumford regularity of the binomial edge ideal of a graph is bounded below by the length of its longest induced path and bounded above by the number of its vertices.

Keywords

Cite

@article{arxiv.1208.2415,
  title  = {Regularity bounds for binomial edge ideals},
  author = {Kazunori Matsuda and Satoshi Murai},
  journal= {arXiv preprint arXiv:1208.2415},
  year   = {2012}
}

Comments

6 pages

R2 v1 2026-06-21T21:49:29.947Z