Fluctuations of Subgraph Counts in Graphon Based Random Graphs

Bhaswar B. Bhattacharya, Anirban Chatterjee, Svante Janson

Given a graphon $W$ and a finite simple graph $H$, with vertex set $V(H)$, denote by $X_n(H,W)$ the number of copies of $H$ in a $W$-random graph on $n$ vertices. The asymptotic d…