Hi Weitao Han In general I think you would want to use a generative model (see for instance http://tuvalu.santafe.edu/~aaronc/courses/5352/fall2013/csci5352_2013_L11.pd... for an introduction). You can find an implementation that is already ready in my library, (primarily for directed networks): https://nngt.readthedocs.io/en/latest/modules/generation.html#nngt.generatio... Best, Tanguy Le 28/02/2019 à 07:45, Weitao Han a écrit :

I'm trying to reproduce the synthetic networks (graphs) described in some papers.

How to create scale-free networks with desired power-law degree distributions, ? The lambda λ values are given, like:

1. n = 50000, λ = 3, 2.7, 2.3, with in a paper 2. n = 4000 and λ = 2.5, or n = 6000 and λ = 3 in the other paper

Here are some references:

1. Catastrophic cascade of failures in interdependent networks, Buldyrev et al. 2010, with a separately provided Supplementary Information 2. Small Cluster in Cyber Physical Systems, Huang et al. 2014 3. Catastrophic cascade of failures in interdependent networks, Havlin et al. 2010, this is on the Arxiv and somewhat clarifies the first