Optimization in Gradient Networks

Details Optimization in Gradient Networks Optimization in Gradient Networks

2007-04-09

arxiv.org/abs/0704.1144v1

Physics

Condensed Matter

Statistical Mechanics

5 pages, 4 figures

Scientific paper

10.1063/1.2737825

Gradient networks can be used to model the dominant structure of complex networks. Previous works have focused on random gradient networks. Here we study gradient networks that minimize jamming on substrate networks with scale-free and Erd\H{o}s-R\'enyi structure. We introduce structural correlations and strongly reduce congestion occurring on the network by using a Monte Carlo optimization scheme. This optimization alters the degree distribution and other structural properties of the resulting gradient networks. These results are expected to be relevant for transport and other dynamical processes in real network systems.

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