학술논문
The $A_\alpha$-spectral radius of complements of bicyclic and tricyclic graphs with $n$ vertices.
Document Type
Journal
Author
Chen, Chaohui (PRC-SCAGU-M) AMS Author Profile; Peng, Jiarong (PRC-SCAGU-M) AMS Author Profile; Chen, Tianyuan (PRC-SCAGU-M) AMS Author Profile
Source
Subject
15 Linear and multilinear algebra; matrix theory -- 15A Basic linear algebra
15A42Inequalities involving eigenvalues and eigenvectors
15A42
Language
English
Abstract
Summary: ``Recently, the extremal problem of the spectral radius in the class of complements of trees, unicyclic graphs, bicyclic graphs and tricyclic graphs had been studied widely. In this paper, we extend the largest ordering of $A_\alpha$-spectral radius among all complements of bicyclic and tricyclic graphs with $n$ vertices, respectively.''