2005/01/01 by M. A. Serrano, M. Ángeles Serrano, M. Boguna · 35 citations
Physics and Astronomy · #Complex Network Analysis Techniques #Degree (music) #Exponent #Power (physics) #Power law #Scale (ratio) #Scaling #Sequence (biology) #Statistical Mechanics and Entropy #Theoretical and Computational Physics #Uncorrelated #cond-mat.dis-nn
paper · pdf · doi:10.1063/1.1985381
published in AIP conference proceedings 776, 101-107 (American Institute of Physics) · Proceedings CNET2004
openalex publication_date 2005/01/01 · arxiv created 2005/01/31 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
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.