FIG. 7.

Fit of $\kappa$ for the reachability of ER network largest connected components with $\langle k\rangle =3$. The circles with error bars and the gray dashed line represent the numerical reachability and ${\tilde{R}}_s$ approximation with the shortest path length distribution, respectively. The dotted line shows ${\tilde{R}}_s$ recalculated with constant $\kappa (i,j)=1.5$, while the solid curve uses $\kappa (i,j)=3.5$ as the exponent in Eq. (10) for all node pairs.