English

Extremal Betti numbers of some Cohen-Macaulay binomial edge ideals

Commutative Algebra 2018-09-11 v1

Abstract

We provide the regularity and the Cohen-Macaulay type of binomial edge ideals of Cohen-Macaulay cones, and we show the extremal Betti numbers of some classes of Cohen-Macaulay binomial edge ideals: Cohen-Macaulay bipartite and fan graphs. In addition, we compute the Hilbert-Poincar\'e series of the binomial edge ideals of some Cohen-Macaulay bipartite graphs.

Keywords

Cite

@article{arxiv.1809.03423,
  title  = {Extremal Betti numbers of some Cohen-Macaulay binomial edge ideals},
  author = {Carla Mascia and Giancarlo Rinaldo},
  journal= {arXiv preprint arXiv:1809.03423},
  year   = {2018}
}