费德勒定理的推广及其应用

IF 1 3区数学 Q1 MATHEMATICS

Linear Algebra and its Applications Pub Date : 2024-07-14 DOI:10.1016/j.laa.2024.07.008

Yangyang Wu, Xiaoling Ma

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引用次数: 0

摘要

本文以费德勒关于由两个对称矩阵形成的矩阵谱的结果为动机，推导出关于由 n 个对称矩阵形成的矩阵特征值的更一般的结果。作为一个重要的应用，我们得到了具有特定几乎等分的图的邻接谱、拉普拉斯谱和无符号拉普拉斯谱。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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A generalization of Fiedler's lemma and its applications

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.

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来源期刊

Linear Algebra and its Applications 数学-应用数学

CiteScore

2.20

自引率

9.10%

发文量

333

审稿时长

13.8 months

期刊介绍： Linear Algebra and its Applications publishes articles that contribute new information or new insights to matrix theory and finite dimensional linear algebra in their algebraic, arithmetic, combinatorial, geometric, or numerical aspects. It also publishes articles that give significant applications of matrix theory or linear algebra to other branches of mathematics and to other sciences. Articles that provide new information or perspectives on the historical development of matrix theory and linear algebra are also welcome. Expository articles which can serve as an introduction to a subject for workers in related areas and which bring one to the frontiers of research are encouraged. Reviews of books are published occasionally as are conference reports that provide an historical record of major meetings on matrix theory and linear algebra.