The Aα-spectral radius of complements of bicyclic and tricyclic graphs with n vertices

Abstract

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 Aα -spectral radius among all complements of bicyclic and tricyclic graphs with n vertices, respectively.

Keywords

• adjacency spectrum
• aα -matrix
• aα -spectral radius
• extremal graph
• 05c50
• 15a18