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循环图邻接矩阵的第二大特征值

李俊杰

高师理科学刊2026,Vol.46Issue(3):36-40,5.
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高师理科学刊2026,Vol.46Issue(3):36-40,5.DOI:10.3969/j.issn.1007-9831.2026.03.005

循环图邻接矩阵的第二大特征值

The second largest eigenvalue of the adjacency matrix of circulant graphs

李俊杰1

作者信息

  • 1. 湖南幼儿师范高等专科学校 小学教育学院,湖南 常德 415000
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摘要

Abstract

The estimation of the eigenvalues of the adjacency matrix of a graph is one of the core topics in graph theory and algebraic graph theory.Its research not only reveals the structural properties of the graph but also has wide applications in network analysis,complex system modeling,and other fields.By using the methods of mathematical analysis,this paper studies the upper bound of the second largest eigenvalue of the adjacency matrix of several special classes of circulant graphs and obtains several innovative results.

关键词

循环图/邻接矩阵/第二大特征值/上界

Key words

circulant graph/adjacency matrix/second largest eigenvalue/upper bound

分类

数理科学

引用本文复制引用

李俊杰..循环图邻接矩阵的第二大特征值[J].高师理科学刊,2026,46(3):36-40,5.

基金项目

湖南省教育科学"十四五"规划2025年度立项课题(XJK25CJC008) (XJK25CJC008)

高师理科学刊

1007-9831

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