A generalization of Fiedler's lemma and its applications

被引：0

作者：

Wu, Yangyang ^{[1
]}

Ma, Xiaoling ^{[1
]}

机构：

[1] Xinjiang Univ, Coll Math & Syst Sci, Urumqi 830017, Xinjiang, Peoples R China

来源：

LINEAR ALGEBRA AND ITS APPLICATIONS | 2024年 / 699卷

基金：

中国国家自然科学基金;

关键词：

Fiedler's lemma; Adjacency spectra; Laplacian spectra; Signless Laplacian spectra; Almost equitable partition; SPECTRA; GRAPHS;

D O I：

10.1016/j.laa.2024.07.008

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article, taking a Fiedler's result on the spectrum of a matrix formed from two symmetric matrices as a motivation, we deduce a more general result on the eigenvalues of a matrix, which form from n symmetric matrices. As an important application, we obtain the adjacency spectra, Laplacian spectra and signless Laplacian spectra of a graph with a particular almost equitable partition. (c) 2024 Elsevier Inc. All rights are reserved, including those for text and data mining, AI training, and similar technologies.

引用

页码：604 / 620

页数：17

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