Fig. 5.

(A–C) Analytical predictions (thick lines) compared with simulation results (symbols) for a power-law coupling pattern with minimum degree $k_{\mathrm{m}\mathrm{i}\mathrm{n}}=2$ and maximum degree $k_{\mathrm{m}\mathrm{a}\mathrm{x}}=\mathrm{1,000}$. The value of $p_c$ from Eq. 15 is shown as a function of $r$ for different parameters $\lambda$, $\tilde{k}$, and $K$. The parameters are (A) $\tilde{K}=6$, $\overline{k}=2.5$, and $K=2.0$; (B) $\tilde{K}=6$, $\lambda =4.5$, and $K=2.0$; and (C) $\tilde{K}=6$, $\lambda =4.5$, and $\overline{k}=2.5$. (D–F) We show $r*$ as a function of $\lambda$, $\overline{k}$, and $K$, with the other parameters as in A–C. Simulation results are averaged over 100 independent realizations with networks of size $m\cdot N_i=10^5\cdot 10^5$.