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. 2006 Nov;74(5 Pt 2):055101.
doi: 10.1103/PhysRevE.74.055101. Epub 2006 Nov 13.

Correlations in weighted networks

M Angeles Serrano  1 , Marián Boguñá, Romualdo Pastor-Satorras
Affiliations

Correlations in weighted networks

M Angeles Serrano et al. Phys Rev E Stat Nonlin Soft Matter Phys. 2006 Nov.

Abstract

We develop a statistical theory to characterize correlations in weighted networks. We define the appropriate metrics quantifying correlations and show that strictly uncorrelated weighted networks do not exist due to the presence of structural constraints. We also introduce an algorithm for generating maximally random weighted networks with arbitrary P(k,s) to be used as null models. The application of our measures to real networks reveals the importance of weights in a correct understanding and modeling of these heterogeneous systems.

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