Emergence of weighttopology correlations in complex scalefree networks
Abstract
Different weighted scalefree networks show weighttopology correlations. A clear signature of these correlations is given by the nonlinear scaling of the node strength with its connectivity. In this paper, we show that networks with and without weighttopology correlations can emerge from the same simple growth dynamics of the nodes connectivities and of the links 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 weighttopology 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.
 Publication:

EPL (Europhysics Letters)
 Pub Date:
 September 2005
 DOI:
 10.1209/epl/i2005101672
 arXiv:
 arXiv:condmat/0412399
 Bibcode:
 2005EL.....71.1029B
 Keywords:

 Disordered Systems and Neural Networks
 EPrint:
 (4 pages,3 figures)