链图拉普拉斯特征值的交错性质

IF 1 3区数学 Q3 MATHEMATICS, APPLIED

Discrete Applied Mathematics Pub Date : 2025-09-15 DOI:10.1016/j.dam.2025.09.007

Milica Anđelić , Zoran Stanić , Fernando C. Tura

引用次数: 0

摘要

链图为{2K2，C3，C5}自由图。n阶链图的拉普拉斯谱由n−2h个整数特征值和2h个可能的非整数特征值组成，这些特征值对应于相关的2h阶商矩阵。我们证明了2h互补特征值与顶点度相交。作为一个应用，我们证实了browwer猜想对于链图是成立的。

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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Interlacing properties of Laplacian eigenvalues of chain graphs

Chain graphs are

{2 K_{2}, C_{3}, C_{5}}

-free graphs. The Laplacian spectrum of a chain graph of order

n

consists of

n - 2 h

integer eigenvalues and

2 h

possibly non-integer eigenvalues that correspond to the associated quotient matrix of order

2 h

. We show that

2 h

complementary eigenvalues interlace vertex degrees. As an application, we confirm that the Brouwer’s conjecture holds for chain graphs.

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来源期刊

Discrete Applied Mathematics 数学-应用数学

CiteScore

2.30

自引率

9.10%

发文量

422

审稿时长

4.5 months

期刊介绍： The aim of Discrete Applied Mathematics is to bring together research papers in different areas of algorithmic and applicable discrete mathematics as well as applications of combinatorial mathematics to informatics and various areas of science and technology. Contributions presented to the journal can be research papers, short notes, surveys, and possibly research problems. The "Communications" section will be devoted to the fastest possible publication of recent research results that are checked and recommended for publication by a member of the Editorial Board. The journal will also publish a limited number of book announcements as well as proceedings of conferences. These proceedings will be fully refereed and adhere to the normal standards of the journal. Potential authors are advised to view the journal and the open calls-for-papers of special issues before submitting their manuscripts. Only high-quality, original work that is within the scope of the journal or the targeted special issue will be considered.