ON THE ABC SPECTRAL RADIUS OF CACTUS GRAPHS

被引：1

作者：

Du, Zhibin ^{[1
]}

Zhou, Bo ^{[2
]}

机构：

[1] South China Normal Univ, Sch Software, Foshan 528225, Peoples R China

[2] South China Normal Univ, Sch Math Sci, Guangzhou 510631, Peoples R China

来源：

OPERATORS AND MATRICES | 2023年 / 17卷 / 01期

基金：

中国国家自然科学基金;

关键词：

ABC spectral radius; ABC matrix; cactus graph; BOUNDS; ENERGY; INDEX;

D O I：

10.7153/oam-2023-17-05

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let G be a graph with vertex set V(G). Denote by du the degree of vertex u in G. dudv if u and v are adjacent, and 0 otherwise. The ABC spectral radius of G is the largest eigenvalue of the ABC matrix of G. In this paper, we determine the unique cactus graph with the largest ABC spectral radius among all cactus graphs with fixed order and number of cycles, and the cactus graphs of order n with the first a few largest ABC spectral radii for n 4.

引用

页码：57 / 68

页数：12

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