Title:
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Communication in networks with hierarchical branching
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Author:
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Arenas, Àlex; Díaz Guilera, Albert; Guimerà Manrique, Roger
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Other authors:
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Universitat de Barcelona |
Abstract:
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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. The analytical results are a useful guide to forecasting the main features of real networks. |
Subject(s):
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-Mecànica estadística -Transformacions de fase (Física estadística) -Other areas of applied and interdisciplinary physics -Statistical mechanics -Phase transformations (Statistical physics) |
Rights:
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(c) American Physical Society, 2001
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Document type:
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Article Article - Published version |
Published by:
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American Physical Society
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