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Emergence of weight-topology correlations in complex scale-free networks | Ginestra Bianconi
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15 Dec 2004 | Subject: | Disordered Systems and Neural Networks | cond-mat.dis-nn | Abstract: | 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. | Source: | arXiv, cond-mat/0412399 | Services: | Forum | Review | PDF | Favorites |
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