The h-vectors of the edge rings of a special family of graphs

被引：2
|
作者：
Higashitani, Akihiro [1 ]
Deepthi, Nayana Shibu [1 ,2 ]
机构：
[1] Osaka Univ, Grad Sch Informat Sci & Technol, Dept Pure & Appl Math, Suita, Osaka, Japan
[2] Osaka Univ, Grad Sch Informat Sci & Technol, Dept Pure & Appl Math, Suita, Osaka 5650871, Japan
来源：
COMMUNICATIONS IN ALGEBRA | 2023年 / 51卷 / 12期
关键词：
Almost Gorenstein; edge rings; initial complex; Grobner basis; h-vector; toric ideals; POLYTOPES;
D O I：
10.1080/00927872.2023.2229442
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The h-vectors of homogeneous rings are one of the most important invariants that often reflect ring-theoretic properties. On the other hand, there are a few examples of edge rings of graphs whose h-vectors are explicitly computed. In this paper, we compute the h-vector of a special family of graphs, by using the technique of initial ideals and the associated simplicial complex.
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页码：5287 / 5296
页数：10
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