Fig. 2

Distributions of degree and Katz centralities. The distribution of degree centralities is heavy tailed and can be fitted with the inverse power law with power γ (upper left). The power γ depends on the number of accumulated periods as shown in the upper right figure. The lower panel shows Katz centrality (left) fitted with the lognormal distribution with the (logarithmic) width σ. The dependence of γ and σ on the number of aggregated periods is shown on the right. The Katz centrality corresponding average rewired network is shown with crosses (green). Estimates of how γ and σ depends on the number of periods is shown in both plots (red) in the right panel