English

Nonvanishing Betti Numbers of Weakly Chordal Graphs

Commutative Algebra 2019-01-01 v1

Abstract

We show that Kimura's necessary and sufficient condition for the non-vanishingness of multigraded Betti numbers of chordal graphs can be extended to the wider class of weakly chordal graphs.

Keywords

Cite

@article{arxiv.1812.11400,
  title  = {Nonvanishing Betti Numbers of Weakly Chordal Graphs},
  author = {Jose Martinez-Bernal and Oscar A. Piza-Morales},
  journal= {arXiv preprint arXiv:1812.11400},
  year   = {2019}
}