Integral closure and normality of edge ideals of some edge-weighted graphs

被引：0
|
作者：
Duan, Shiya [1 ]
Zhu, Guangjun [1 ]
Cui, Yijun [1 ]
Li, Jiaxin [1 ]
机构：
[1] Soochow Univ Suzhou, Sch Math Sci, Jiangsu 215006, Peoples R China
来源：
JOURNAL OF ALGEBRA AND ITS APPLICATIONS | 2025年
基金：
中国国家自然科学基金;
关键词：
Integrally closed; normal; edge-weighted graph; edge ideal;
D O I：
10.1142/S0219498826500921
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper presents a complete characterization of an edge-weighted simple graph G(omega), whose edge ideal I(G(omega)) is integrally closed. Furthermore, it is demonstrated that if I(G(omega)) is integrally closed and G(omega) is an edge-weighted star graph, path, or cycle, then I(G(omega)) is normal.
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收藏
页数：18
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