Emergence of weight-topology correlations in complex scale-free networks

Details Emergence of weight-topology correlations in complex scale-free networks Emergence of weight-topology correlations in complex scale-free networks

2004-12-15

arxiv.org/abs/cond-mat/0412399v3

Physics

Condensed Matter

Disordered Systems and Neural Networks

(4 pages,3 figures)

Scientific paper

10.1209/epl/i2005-10167-2

Different weighted scale-free networks show weights-topology correlations indicated by the non linear scaling of the node strength with node connectivity. In this paper we show that networks with and without weight-topology correlations can emerge from the same simple growth dynamics of the node connectivities and of the link weights. A weighted fitness network is introduced in which both nodes and links are assigned intrinsic fitness. This model can show a local dependence of the weight-topology correlations and can undergo a phase transition to a state in which the network is dominated by few links which acquire a finite fraction of the total weight of the network.

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