English

Algebraic properties of toric rings of graphs

Commutative Algebra 2022-09-30 v2

Abstract

Let G=(V,E)G = (V,E) be a simple graph. We investigate the Cohen-Macaulayness and algebraic invariants, such as the Castelnuovo-Mumford regularity and the projective dimension, of the toric ring k[G]k[G] via those of toric rings associated to induced subgraphs of GG.

Keywords

Cite

@article{arxiv.1703.08270,
  title  = {Algebraic properties of toric rings of graphs},
  author = {Selvi Kara and Huy Tai Ha and Augustine O'Keefe},
  journal= {arXiv preprint arXiv:1703.08270},
  year   = {2022}
}

Comments

18 pages; changed title and re-organized sections to better exhibit results; correct the last main theorem