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.
Citation
Jing-Ming Zhang, Ji-Ming Guo. The Signless Laplacian Spectral Radius of Bicyclic Graphs with Order \(n\) and Girth \(g\)[J], Ars Combinatoria, Volume 123. 33-40. .