Distribution of signless Laplacian eigenvalues and graph invariants

IF 1 3区数学 Q1 MATHEMATICS

Linear Algebra and its Applications Pub Date : 2024-06-20 DOI:10.1016/j.laa.2024.06.019

Leyou Xu, Bo Zhou

引用次数: 0

Abstract

For a simple graph on n vertices, any of its signless Laplacian eigenvalues is in the interval $[0, 2 n - 2]$ . In this paper, we give relationships between the number of signless Laplacian eigenvalues in specific intervals in $[0, 2 n - 2]$ and graph invariants including matching number and diameter.

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无符号拉普拉奇特征值的分布和图不变式

对于 n 个顶点上的简单图，其任何一个无符号拉普拉奇特征值都在区间 [0,2n-2] 内。本文给出了[0,2n-2]特定区间内的无符号拉普拉奇特征值数与匹配数和直径等图不变式之间的关系。

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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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.