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.