The Aα-spectral Radius of Bicyclic Graphs with Given Degree Sequences

被引：1
|
作者：
Wen, Fei [1 ,2 ]
Yuan, Mengyue [1 ]
Wang, Wei [2 ]
机构：
[1] Lanzhou Jiaotong Univ, Inst Appl Math, Lanzhou 730070, Peoples R China
[2] Xi An Jiao Tong Univ, Sch Math & Stat, Xian 710049, Peoples R China
来源：
TAIWANESE JOURNAL OF MATHEMATICS | 2023年 / 27卷 / 02期
基金：
中国国家自然科学基金;
关键词：
A(alpha)-spectral radius; degree sequence; bicyclic graphs;
D O I：
10.11650/tjm/220906
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let A(G) and D(G) be the adjacency matrix and the degree matrix of G, respectively. For any real alpha is an element of [0, 1], Nikiforov defined the matrix A(alpha)(G) as A(alpha)(G) = alpha D(G) + (1 - alpha)A(G). In this paper, we generalize some previous results about the A(1/2)-spectral radius of bicyclic graphs with a given degree sequence. Furthermore, we characterize all extremal bicyclic graphs which have the largest A(alpha)-spectral radius in the set of all bicyclic graphs with prescribed degree sequences.
引用
收藏
页码：207 / 220
页数：14
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