The effects of spatial constraints on the evolution of weighted complex networks
Abstract
Motivated by the empirical analysis of the air transportation system, we define a network model that includes geographical attributes along with topological and weight (traffic) properties. The introduction of geographical attributes is made by constraining the network in real space. Interestingly, the inclusion of geometrical features induces nontrivial correlations between the weights, the connectivity pattern and the actual spatial distances of vertices. The model also recovers the emergence of anomalous fluctuations in the betweennessdegree correlation function as first observed by Guimerà and Amaral (2004 Eur. Phys. J. B 38 381). The presented results suggest that the interplay between weight dynamics and spatial constraints is a key ingredient in order to understand the formation of realworld weighted networks.
 Publication:

Journal of Statistical Mechanics: Theory and Experiment
 Pub Date:
 May 2005
 DOI:
 10.1088/17425468/2005/05/P05003
 arXiv:
 arXiv:physics/0504029
 Bibcode:
 2005JSMTE..05..003B
 Keywords:

 89.75.k 87.23.Ge 05.40.a network dynamics random graphs;
 networks;
 Physics  Physics and Society;
 Condensed Matter  Statistical Mechanics
 EPrint:
 J. Stat. Mech. (2005) P05003