English

Extremal Betti numbers of some classes of binomial edge ideals

Commutative Algebra 2013-10-11 v1 Combinatorics

Abstract

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

Keywords

Cite

@article{arxiv.1310.2903,
  title  = {Extremal Betti numbers of some classes of binomial edge ideals},
  author = {Ahmet Dokuyucu},
  journal= {arXiv preprint arXiv:1310.2903},
  year   = {2013}
}