Search and congestion in complex networks

Arenas, A, Cabrales, A, Diaz-Guilera, A, Guimera, R, Vega-Redondo, F
Lect. Notes. Phys. 625,  175 - 194 (2003)
Times cited: 5

Abstract

A model of communication that is able to cope simultaneously with the problems of search and congestion is presented. We investigate the communication dynamics in model networks. Those networks consist in a regular lattice ordering plus some long-range short-cuts with a given probability. The destination nodes of the short-cuts are chosen according to some degree of preferentiality. We study then the interplay between short- and long-range links and preferentiality. We also introduce a general framework that enables a search of optimal structures. A relation between dynamical properties and topological properties of the network is found and exploited.