2 problems

Scaling conjecture for finite graphs. Consider the finite SIRG $\mathbb{G}^{(n)}$. If $\phi(k_n)=o(\psi(n))$, then

Let $\mathbb{G}_n=G(\mathbf{Y}^{(n)},\mathbf{W}^{(n)},\kappa_n)$ satisfy the assumptions of the local weak convergence theorem in the source, except for the assumption imposing reg…