阈值图的不同特征值的最小个数不超过4个

IF 1.1 3区数学 Q1 MATHEMATICS

Linear Algebra and its Applications Pub Date : 2025-07-18 DOI:10.1016/j.laa.2025.07.020

L. Emilio Allem , Carlos Hoppen , João Lazzarin , Lucas Siviero Sibemberg , Fernando Colman Tura

引用次数: 0

摘要

在本文中，我们证明了阈值图的不同特征值的最小个数不超过4。此外，给定任意阈值图G和任意非零实数λ，我们显式构造了一个与G相关的矩阵M，使DSpec(M)≥λ,0,λ,2λ}。

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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The minimum number of distinct eigenvalues of a threshold graph is at most 4

In this note we show that the minimum number of distinct eigenvalues of a threshold graph is at most 4. Moreover, given any threshold graph G and any nonzero real number λ, we explicitly construct a matrix M associated with G such that DSpec

(M) \subseteq {- λ, 0, λ, 2 λ}

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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.