The Signless Laplacian Spectral Radius of Bicyclic Graphs with Order \(n\) and Girth \(g\)

Jing-Ming Zhang1, Ji-Ming Guo1
1College of Mathematics and Computational Science in China University of Petroleum, Dongying 257061, Shandong Province, China

Abstract

In this paper, we determine the unique bicyclic graph with the largest signless Laplacian spectral radius among all the bicyclic graphs with \(n\) vertices and a given girth.