Figure 1.

Survival function of the probability distributions of the $k$-shell index, i.e., $P_{\ge }(k_{\text{s}})$ as a function of $k_{\text{s}}$ for the original network (dotted line) and shuffled networks (solid line). Each panel corresponds to a data set, i.e., Facebook 1 (panel a), Facebook 2 (b), Facebook 4 (c), Twitter (d), Emails (e), Cond. Matter (f), Comp. Science (g), Global airline (h), and Cookpad Greece (i). The horizontal dashed lines indicate that $P_{\ge }(k_{\text{s}})=0.1$. Results are averaged over 10 different runs of each shuffling method, and the shaded areas (when visible) represent the standard deviations.