Laplacian and Wiener index of extension of zero divisor graph

被引：0
作者：
Bora, Pallabi [1 ]
Rajkhowa, Kukil Kalpa [1 ]
机构：
[1] Cotton Univ Guwahati, Dept Math, Gauhati 781001, India
来源：
DISCRETE APPLIED MATHEMATICS | 2024年 / 356卷
关键词：
Laplacian matrix; Laplacian spectrum; Zero divisor; Wiener index;
D O I：
10.1016/j.dam.2024.05.025
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The main purpose of this paper is to study the Laplacian eigenvalues of the extension of the zero divisor graph, Gamma e ( Z n ) , for some particular values of n . We characterize the values of n that give the equality of the spectral radius and the second -smallest eigenvalue of Gamma e ( Z n ). Finding Wiener index of Gamma e ( Z n ) in terms of its Laplacian eigenvalues is another objective of this paper. (c) 2024 Elsevier B.V. All rights are reserved, including those for text and data mining, AI training, and similar technologies.
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页码：229 / 237
页数：9
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