Toric rings arising from vertex cover ideals

被引：0
|
作者：
Herzog, Jurgen [1 ]
Hibi, Takayuki [2 ]
Moradi, Somayeh [3 ]
机构：
[1] Univ Duisburg Essen, Fachbereich Math, Campus Essen, D-45117 Essen, Germany
[2] Osaka Univ, Grad Sch Informat Sci & Technol, Dept Pure & Appl Math, Suita, Osaka 5650871, Japan
[3] Ilam Univ, Sch Sci, Dept Math, POB 69315-516, Ilam, Iran
来源：
ADVANCES IN APPLIED MATHEMATICS | 2024年 / 152卷
基金：
日本学术振兴会;
关键词：
Sortable; Toric rings; Vertex cover ideals; POWERS; PROPER;
D O I：
10.1016/j.aam.2023.102596
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We extend the sortability concept to monomial ideals which are not necessarily generated in one degree and as an application we obtain normal Cohen-Macaulay toric rings attached to vertex cover ideals of graphs. Moreover, we consider a construction on a graph called a clique multiwhiskering which always produces vertex cover ideals with componentwise linear powers. & COPY; 2023 Elsevier Inc. All rights reserved.
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页数：11
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