Communication in networks with hierarchical branching

Details Communication in networks with hierarchical branching Communication in networks with hierarchical branching

2000-09-26

arxiv.org/abs/cond-mat/0009395v2

Physical Review Letters 86 (14), 3196--3199 (2001)

Physics

Condensed Matter

Statistical Mechanics

4 pages, 3 figures. Final version accepted in PRL

Scientific paper

10.1103/PhysRevLett.86.3196

We present a simple model of communication in networks with hierarchical branching. We analyze the behavior of the model from the viewpoint of critical systems under different situations. For certain values of the parameters, a continuous phase transition between a sparse and a congested regime is observed and accurately described by an order parameter and the power spectra. At the critical point the behavior of the model is totally independent of the number of hierarchical levels. Also scaling properties are observed when the size of the system varies. The presence of noise in the communication is shown to break the transition. Despite the simplicity of the model, the analytical results are a useful guide to forecast the main features of real networks.

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