Fluctuations of functions of sparse Erdős-Rényi graphs

Hok-Yin Chu

Let $A$ be the (rescaled) adjacency matrix of the Erdős-Rényi graphs $\mathcal{G}(\mathcal{N},p)$. For $N^{-1+\tau }⩽p⩽N^{-\tau }$, we study the fluctuation of $f(A{)}_{ii}$ on the globa…