2025-263

A scale-free network has a degree distribution that follows a power law:

$$p(k) = Ck^{-\gamma} $$

where \( \gamma = 3 \), the maximum degree is \( k_{max} = 600 \) and the network size is \( N = 4 \times 10^4 \).

Which of the options represents the approximate value to one decimal place of the constant \( C \) for this degree distribution?

Options:

a) $C=0.5$
b) $C=9.0$
c) $C=14.0$
d) $C=18.0$
e) None of the above

Original idea by: Yan Prada.