The asymptotic value of graph energy for random graphs with degree-based weights

Xueliang Li, Yiyang Li, Jiarong Song

In this paper, we investigate the energy of a weighted random graph $G_p(f)$ in $G_{n,p}(f)$, in which each edge $ij$ takes the weight $f(d_i,d_j)$, where $d_v$ is a random variabl…