Fig. 2.

(A–C) Analytical predictions (thick lines) compared with simulation results (symbols) for $p_c$ as a function of $r$ for different $m$, $\tilde{K}$, and $\overline{k}$ for a star coupling pattern. Analytical results are from Eq. 5 and SI Appendix, Eq. 12. The parameters are $\tilde{K}$ = $\overline{k}$ = 3 in A, $m=3$ and $\overline{k}=3$ in B, and $m=3$ and $\tilde{K}=3$ in C, respectively. D–F show the results of $r^{*}$ as functions of $m$, $\tilde{K}$, and $\overline{k}$. The parameters are the same as for A–C. Simulation results are averaged over 1,000 independent realizations with $N_i=N=10^7$ for each subnetwork $i=\mathrm{1,2},\dots ,m$.