FIG. 1.

Comparison of theoretical thresholds with numerical thresholds on RRN. (a) The threshold λ_c vs. k, where N is set to 10⁴. (b) The threshold λ_c vs. N, where k is set to 10. “Squares,” “circles,” and “triangleups” denote ${\lambda }_p^{\chi }$, ${\lambda }_p^{\Delta }$, and $1/(k-1)$, respectively. Inset: Susceptibility χ and variability Δ as a function of λ. The results are averaged over ${10}^2\times {10}^6$ independent realizations on 10² networks.