Figure 1

(Color online) Self-affine properties embedded in spectra of real world networks. (a), (b) Histograms of the levels of the E. Coli cellular network and the actor subnetwork (containing the nodes numbered $1–8000$). (c) (d) Partition functions. (e) (f) Scaling exponent ${\tau }_q$ as a function of $q$. The E. Coli cellular network behaves multifractal. The actor subnetwork behaves bifractal, and Eq. (5) is used to obtain $\mathrm{\Delta }\alpha$. (g) (h) The relations of ${\tau }_q$ versus $q$ for the high confident, low confident, and artificial versions of the S. cerevisiae protein-protein interaction network. High confidence may not necessarily imply high quality. The result for the artificial network is an average over 20 realizations. A dashed line is added as reference, the slope of which is 0.66. The partition functions are shifted to avoid overlapping.Reuse & Permissions