The Sharp Upper Bounds on the Aα-Spectral Radius of C4-Free Graphs and Halin Graphs

被引：0
作者：
Guo, Shu-Guang [1 ]
Zhang, Rong [1 ]
机构：
[1] Yancheng Teachers Univ, Sch Math & Stat, Yancheng 224002, Jiangsu, Peoples R China
来源：
GRAPHS AND COMBINATORICS | 2022年 / 38卷 / 01期
基金：
中国国家自然科学基金;
关键词：
C-4-Free graph; Halin graph; A(alpha)-Spectral; Upper bound; EXTREMAL ALPHA-INDEX; SPECTRAL-RADIUS; MAXIMA;
D O I：
10.1007/s00373-021-02429-z
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let G be a simple undirected graph. For any real number alpha is an element of [0, 1], Nikiforov defined the A(alpha)-matrix of G as A(alpha)(G) = alpha D(G) + (1 - alpha)A(G), where A(G) and D(G) are the adjacency matrix and the degree diagonal matrix of G respectively. The largest eigenvalue of A(alpha)(G) is called the Aa-spectral radius of G. In this paper, we give sharp upper bounds on the Aa-spectral radius of C-4-free graphs and Halin graphs for alpha is an element of [1/2, 1) respectively.
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页数：13
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