On the spectral radius of unicyclic and bicyclic graphs with a fixed diameter

F. F. Wang, H. Y. Shan, Y. Y. Zhai

The $\alpha$-spectral radius of a connected graph $G$ is the spectral radius of $A_{\alpha }$-matrix of $G$. In this paper, we discuss the methods for comparing $\alpha$-spectral radius of graphs. A…