FIG. 3.

Comparison of the average final cascade size $\rho$ obtained from numerical analytic calculations and simulations, where lines represent the former and symbols in the same color correspond to the latter. Numerically, we consider $T=50$ cascade time steps. In simulations, we realize 100 independent networks of size $N={10}^5$ by the configuration model and draw independently $N$ normally distributed thresholds with mean $\mu$ and standard deviation $\sigma [\mathrm{\Phi }\sim \mathcal{N}(\mu ,{\sigma }^2)]$ that are assigned to nodes according to pf or cf strategies. (a) pf: Results for scale free networks and $\sigma =0.5$ are depicted in light blue triangles for the ED model and in red $x$ for the DD model. Poisson random graphs and $\sigma =0.2$ correspond to black circles for ED and to dark blue plus signs $+$ for DD. (b) As in (a), but for cf.