English

Strongly Koszul edge rings

Commutative Algebra 2016-02-02 v2

Abstract

We classify the finite connected simple graphs whose edge rings are strongly Koszul. From the classification, it follows that if the edge ring is strongly Koszul, then its toric ideal possesses a quadratic Gr\"obner basis.

Keywords

Cite

@article{arxiv.1310.7476,
  title  = {Strongly Koszul edge rings},
  author = {Takayuki Hibi and Kazunori Matsuda and Hidefumi Ohsugi},
  journal= {arXiv preprint arXiv:1310.7476},
  year   = {2016}
}

Comments

7 pages, 1 figure, Notation is improved, Typos are corrected

R2 v1 2026-06-22T01:55:32.697Z