On the main spectrum of generalized Bethe trees

被引：1

作者：

Macedo Franca, Francisca Andrea ^{[1
]}

Brondani, Andre Ebling ^{[1
]}

机构：

[1] Fluminense Fed Univ, Dept Math, Volta Redonda, Brazil

来源：

LINEAR ALGEBRA AND ITS APPLICATIONS | 2021年 / 628卷

关键词：

Generalized Bethe tree; Bethe tree; Main eigenvalue; LARGEST EIGENVALUE; GRAPHS; BOUNDS; RADIUS;

D O I：

10.1016/j.laa.2021.07.001

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

An eigenvalue of the adjacency matrix of a graph is said to be main if the all-ones vector is not orthogonal to its associated eigenspace. In this paper, we investigate the main eigenvalues of generalized Bethe trees and determine the number of main eigenvalues of some subclasses of these trees. In particular, we characterize the main spectrum of Bethe trees. (C) 2021 Elsevier Inc. All rights reserved.

引用

页码：56 / 71

页数：16

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