Statistical Analysis of Weighted Networks

Figure 4

The values of all five weighted clustering coefficients Zhang and Horvath𝐶^𝑍_𝑤,𝑖(★), Lopez-Fernandez et al. 𝐶^𝐿_𝑤,𝑖(■), Onnela et al. 𝐶^𝑂_𝑤,𝑖(▴), Barrat et al. 𝐶^𝐵_𝑤,𝑖(♦), and Serrano et al. 𝐶^𝑆_𝑤,𝑖(□), in terms of the relative perturbation norm for the scale-free network (Barabasi-Albert extended model) with 100 nodes. (a) The weights are randomly generated numbers following the uniform distribution; (b) the weights are randomly generated numbers following the normal distribution; (c) the weights are randomly generated numbers following the exponential distribution.

(a)

(b)

(c)