Nearly Gorenstein rings arising from finite graphs
Commutative Algebra
2021-08-24 v3 Combinatorics
Abstract
The classification of complete multipartite graphs whose edge rings are nearly Gorenstein as well as that of finite perfect graphs whose stable set rings are nearly Gorenstein is achieved.
Keywords
Cite
@article{arxiv.2103.17042,
title = {Nearly Gorenstein rings arising from finite graphs},
author = {Takayuki Hibi and Dumitru I. Stamate},
journal= {arXiv preprint arXiv:2103.17042},
year = {2021}
}
Comments
v3: fixed one misprint in the proof of Lemma 2.1; v2: minor edits, some details added. To appear in the Electronic Journal of Combinatorics. 10 pages