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Communication in Networks with Hierarchical Branching
Open accessAbstract
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.
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Cited by
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BOCCALETTI, S., LATORA, V, MORENO, Y., CHAVEZ, M., & HWANG, D. (2006) · Physics Reports · doi:10.1016/j.physrep.2005.10.009 · Cited by 11,010
The structure and dynamics of multilayer networks
Boccaletti, S., Bianconi, G., Criado, R., del Genio, C. I., Gómez-Gardeñes, J., Romance, M., Sendiña-Nadal, I., Wang, Z., & Zanin, M. (2014) · Physics Reports · doi:10.1016/j.physrep.2014.07.001 · Cited by 3,125
Critical phenomena in complex networks
Dorogovtsev, S. N., Goltsev, A. V., & Mendes, J. F. F. (2008) · Reviews of Modern Physics · doi:10.1103/revmodphys.80.1275 · Cited by 2,220
Watts, D. J. (2004) · Annual Review of Sociology · doi:10.1146/annurev.soc.30.020404.104342 · Cited by 1,163
Efficient routing on complex networks
Yan, G., Zhou, T., Hu, B., Fu, Z.-Q., & Wang, B.-H. (2006) · Physical Review E · doi:10.1103/physreve.73.046108 · Cited by 631
Metadata
- Authors
- Arenas, A., Díaz-Guilera, A., & Guimerà, R.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 2001-04-02
- Volume
- 86
- Issue
- 14
- Pages
- 3196-3199
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W2107358961
- Cited by
- 449
- References
- 0
- FWCI
- 4.18
- Type
- journal article
- Language
- en
- Open access
- bronze
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- Arenas, A., Díaz-Guilera, A., & Guimerà, R. (2001). Communication in Networks with Hierarchical Branching. Physical Review Letters. https://doi.org/10.1103/physrevlett.86.3196
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
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