The Smith normal form of the walk matrix of the Dynkin graph An

被引：0
|
作者：
Huang, Liangwei [1 ]
Xu, Yan [1 ]
Zhang, Haicheng [1 ]
机构：
[1] Nanjing Normal Univ, Inst Math, Sch Math Sci, Nanjing 210023, Peoples R China
来源：
LINEAR ALGEBRA AND ITS APPLICATIONS | 2024年 / 698卷
基金：
中国国家自然科学基金;
关键词：
Smith normal form; Walk matrix; Dynkin graph; Equitable partition;
D O I：
10.1016/j.laa.2024.06.003
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we give the rank of the walk matrix of the Dynkin graph A(n), and prove that its Smith normal form is diag (1 , ... , 1(}(sic)n/2(sic)), 0, ... , 0). (c) 2024 Elsevier Inc. All rights are reserved, including those for text and data mining, AI training, and similar technologies.
引用
收藏
页码：26 / 39
页数：14
相关论文
共 50 条
12345