Figure 4. Relation between localization and network topological properties.

Relation between localization (rIPR is the ratio between the IPR of the empirical network and the IPR of the corresponding random null model 1) and (a) networks size (S); (b) network connectance measured as the fraction of observed and possible links (C=L/(S(S−1)) with L=number of links); (c) network heterogeneity (variance of the weighted degree distribution). The parametrization used here is δ=0.5 and γ₀=1. Results are reported for both right (in red) and left (in blue) leading eigenvectors (v₁ and u₁).