Figure 2
From: Generalised thresholding of hidden variable network models with scale-free property
The complementary cumulative distribution of the node degrees F(k) for four different networks, generated with the same ρ(x) and f(x, y), but with different β parameters. The fitness distribution was chosen to be ρ(x) = 3x2exp(−x3) and corresponding linking function f(x, y) is given in (31). In panel (a) we used β = 0.5, and the decay characteristics of the resulting F(k) seem to be close to that of SF networks with \(\gamma \simeq 3.12\) (shown by the solid line). The parameter β was increased to β = 0.7 in panel (b), where the decay of F(k) suggests a γ value of \(\gamma \simeq 2.47\). In panels (c,d) we increased β further to β = 1.0 and β = 5.0, reducing the γ exponent to γ = 2.13 and γ = 2.05 respectively. In panel (a,b) \({\rm{\Delta }}=\frac{1}{\beta }\,\mathrm{ln}\,N\), while in panel (c,d) we used Δ = lnN for obtaining sparse networks.
