Largest and smallest eigenvalues of matrices and some Hamiltonian properties of graphs

被引：0
|
作者：
Li, Rao [1 ]
机构：
[1] Univ South Carolina Aiken, Dept Comp Sci Engn & Math, Aiken, SC 29801 USA
来源：
CONTRIBUTIONS TO MATHEMATICS | 2024年 / 10卷
关键词：
matrix; largest eigenvalue; Hamiltonian graph; traceable graph;
D O I：
10.47443/cm.2024.051
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Let G ( V, E) be a graph. Define M(G; alpha, /3) : alpha D + /3A, where D and A are the diagonal matrix and adjacency matrix of G , respectively, and alpha , /3 , are real numbers such that ( alpha, /3) 6 (0 , 0) . Using the largest and smallest eigenvalues of M(G; alpha, /3) with alpha >= /3 > 0 , sufficient conditions for the Hamiltonian and traceable graphs are presented.
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页码：34 / 39
页数：6
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