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

Preprint

11 March 2005

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.cond-mat/0412399

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.

Keywords

All Related Versions

Version 1, 2004-12-15, ArXiv
Version 2, 2004-12-16, ArXiv
Version 3, 2005-03-11, ArXiv
Published version: Europhysics Letters, 71 (6), 1029.

This publication has 0 references indexed in Scilit: