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Biased random walks in complex networks: The role of local navigation rules
Open accessAbstract
We study the biased random-walk process in random uncorrelated networks with arbitrary degree distributions. In our model, the bias is defined by the preferential transition probability, which, in recent years, has been commonly used to study the efficiency of different routing protocols in communication networks. We derive exact expressions for the stationary occupation probability and for the mean transit time between two nodes. The effect of the cyclic search on transit times is also explored. Results presented in this paper provide the basis for a theoretical treatment of transport-related problems in complex networks, including quantitative estimation of the critical value of the packet generation rate.
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Cited by
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
Random walks and diffusion on networks
Masuda, N., Porter, M. A., & Lambiotte, R. (2017) · Physics Reports · doi:10.1016/j.physrep.2017.07.007 · Cited by 657
Exploring the Morphospace of Communication Efficiency in Complex Networks
Goñi, J., Avena-Koenigsberger, A., Velez de Mendizabal, N., van den Heuvel, M. P., Betzel, R. F., & Sporns, O. (2013) · PLoS ONE · doi:10.1371/journal.pone.0058070 · Cited by 158
A spectrum of routing strategies for brain networks
Avena-Koenigsberger, A., Yan, X., Kolchinsky, A., van den Heuvel, M. P., Hagmann, P., & Sporns, O. (2019) · PLOS Computational Biology · doi:10.1371/journal.pcbi.1006833 · Cited by 115
Metadata
- Authors
- Fronczak, A., & Fronczak, P.
- Venue
- Physical Review E
- Publisher
- American Physical Society (APS)
- Published
- 2009-07-13
- Volume
- 80
- Issue
- 1
- Pages
- 016107-016107
- ISSN
- 1539-3755 (ISSN-L)
- 1550-2376
- OpenAlex
- W2168586324
- Cited by
- 176
- References
- 0
- FWCI
- 5.79
- Type
- journal article
- Language
- en
- Open access
- green
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