The configuration model is one of the most successful models for generating uncorrelated random networks. We analyze its behavior when the expected degree sequence follows a power law with exponent smaller than two. In this situation, the resulting network can be viewed as a weighted network with non trivial correlations between strength and degree. Our results are tested against large scale numerical simulations, finding excellent agreement.
@article{arxiv.cond-mat/0501750,
title = {Weighted Configuration Model},
author = {M. A. Serrano and M. Boguna},
journal= {arXiv preprint arXiv:cond-mat/0501750},
year = {2009}
}