具有固定最小特征值的正则图的结构理论

IF 1 3区数学 Q1 MATHEMATICS

Linear Algebra and its Applications Pub Date : 2025-05-20 DOI:10.1016/j.laa.2025.05.013

Qianqian Yang , Jack H. Koolen

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引用次数: 0

摘要

本文给出了具有固定最小特征值的正则图的结构理论。作为这一理论的结果，我们证明了一个最小特征值至少为- λ的k正则图，如果k相对于λ较大，则其团数在k上是线性的。

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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A structure theory for regular graphs with fixed smallest eigenvalue

In this paper we will give a structure theory for regular graphs with fixed smallest eigenvalue. As a consequence of this theory, we show that a k-regular graph with smallest eigenvalue at least −λ has clique number linear in k if k is large with respect to 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.