I'm trying to reproduce the synthetic networks described in some papers.
How to create scale-free networks with desired power-law degree distributions and fixed average degrees, P(k)=k^(-λ)? The lambda λ values and number of nodes (n) are given, like:
- n = 50000, λ = 3, 2.7, 2.3, < k >=4, with in a paper
- n = 4000 and λ = 2.5, or n = 6000 and λ = 3 in the other paper
There is a function called price_network in graph-tool which can generate a BA network with λ = 3. However, there is no way to modify the λ value different from 3.
Here are some references:
- Catastrophic cascade of failures in interdependent networks, Buldyrev et al. 2010, with a separately provided Supplementary Information
- Small Cluster in Cyber Physical Systems, Huang et al. 2014
- Catastrophic cascade of failures in interdependent networks, Havlin et al. 2010, this is on the Arxiv and somewhat clarifies the first
