Before revision: This paper considers a two-sample goodness-of-fit testing problem for network data  in which the null hypothesis is that the networks are drawn from the same inhomogeneous random graph model.
After revision: This paper considers a two-sample Kolmogorov-Smirnov test, widely used in the literature to test the null hypothesis of "no treatment effects", for network data in which the null hypothesis is that the networks are drawn from the same inhomogeneous random graph model.