English

Pseudo-Gorenstein$^{*}$ Graphs

Commutative Algebra 2026-03-10 v1 Combinatorics

Abstract

Motivated by pseudo-Gorenstein rings in commutative algebra, introduced by Herzog et al., we define pseudo-Gorenstein^{*} graphs and classify them in several natural graph families using independence polynomials.

Keywords

Cite

@article{arxiv.2603.08502,
  title  = {Pseudo-Gorenstein$^{*}$ Graphs},
  author = {Takayuki Hibi and Selvi Kara and Dalena Vien},
  journal= {arXiv preprint arXiv:2603.08502},
  year   = {2026}
}

Comments

15 pages

R2 v1 2026-07-01T11:10:31.403Z