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In this paper we deal with the structural properties of weighted networks.Starting from an empirical analysis of a linguistic network, we analyse thedifferences between the statistical properties of a real and a shuffled networkand we show that the scale free degree distribution and the scale free weightdistribution are induced by the scale free strength distribution, that isZipf's law. We test the result on a scientific collaboration network, that is asocial network, and we define a measure, the vertex selectivity, that caneasily distinguish a real network from a shuffled network. We prove, via anad-hoc stochastic growing network with second order correlations, that thismeasure can effectively capture the correlations within the topology of thenetwork.

Differences between normal and shuffled texts: structural properties of weighted networks