最大度为3或5的四圈哈密尔顿图的无符号拉普拉斯谱半径  

The Signless Laplacian Spectral Radius of Quadricyclic Hamiltonian Graphs with the Maximal Degree 3 or 5

作　　者：张子杰 蔡改香 肖凤茹 ZHANG Zijie;CAI Gaixiang;XIAO Fengru(School of Mathematics and Physics,Anqing Normal University,Anqing 246133,China)

机构地区：[1]安庆师范大学数理学院,安徽安庆246133

出　　处：《安庆师范大学学报（自然科学版）》2024年第3期16-23,共8页Journal of Anqing Normal University(Natural Science Edition)

基　　金：安庆师范大学研究生教育质量工程项目(2022xxsfkc038,2021aqnuxxkc03);安徽省高校自然科学研究重点项目(KJ2020A0894,KJ2021A0650)。

摘　　要：在结构图论中,利用图的谱半径来刻画图的哈密尔顿性已经取得了很多成果,但是在哈密尔顿图的谱半径方面还缺乏研究。本文基于四圈哈密尔顿图的概念,利用图的谱参数与结构参数之间的关系,分别确定了最大度为3和5的四圈哈密尔顿图类中具有最大无符号拉普拉斯谱半径的图的结构。In structural graph theory,significant advancements have been made in characterizing the Hamiltonian nature of the graphs using the spectral radius.However,there remains a lack of research on the spectral radius of Hamilton graphs.Therefore,in this article,based on the concept of a quadricyclic Hamilton graphs and the relationship between the spectral parameters and structural parameters of the graphs,we determine the structure of graphs with maximum signless Laplacian spectral radius in the class of quadricyclic Hamiltonian graph with maximum degrees 3 and 5,respectively.

关 键 词：无符号拉普拉斯谱半径 四圈哈密尔顿图 最大度 

分 类 号：O157.5[理学—数学]