Extremal spectral radius of weighted adjacency matrices of bicyclic graphs

Jiachang Ye, Junli Hu, Xiaodan Chen

The weighted adjacency matrix $A_f(G)$ of a simple graph $G=(V,E)$ is the $|V|\times |V|$ matrix whose $ij$-entry equals $f(d_i,d_j)$, where $f(x,y)$ is a symmetric function suc…