The DOI matches its Crossref record; 43 of the 43 references it cites were found in a registry or an index.
Navigability of interconnected networks under random failures
Open accessAbstract
Significance: Network theory has been exploited in the last decades to deepen our comprehension of complex systems. However, real-world complex systems exhibit multiple levels of relationships and require modeling by interconnected networks, characterizing interactions on several levels simultaneously. Questions such as “what is the efficiency of exploration of a city using the multiple transportation layers, like subway and bus?” and “what is its resilience to failures?” have to be answered using the multiplex framework. Here, we introduce fundamental mechanisms to perform such exploration, using random walks on multilayer networks, and we show how the topological structure, together with the navigation strategy, influences the efficiency in exploring the whole structure.
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Cites
Collective dynamics of ‘small-world’ networks
Watts, D. J., & Strogatz, S. H. (1998) · Nature · doi:10.1038/30918 · Cited by 43,060
Emergence of Scaling in Random Networks
Barabási, A.-L., & Albert, R. (1999) · Science · doi:10.1126/science.286.5439.509 · Cited by 36,135
The anatomy of a large-scale hypertextual Web search engine
Brin, S., & Page, L. (1998) · Computer Networks and ISDN Systems · doi:10.1016/s0169-7552(98)00110-x · Cited by 16,004
The Evolution of Random Graphs
(1986) · CBMS Regional Conference Series in Mathematics · doi:10.1090/cbms/062/06 · Cited by 5,543
Catastrophic cascade of failures in interdependent networks
Buldyrev, S. V., Parshani, R., Paul, G., Stanley, H. E., & Havlin, S. (2010) · Nature · doi:10.1038/nature08932 · Cited by 4,513
Traffic and related self-driven many-particle systems
Helbing, D. (2001) · Reviews of Modern Physics · doi:10.1103/revmodphys.73.1067 · Cited by 3,245
RANDOM DISPERSAL IN THEORETICAL POPULATIONS
SKELLAM, J. G. (1951) · Biometrika · doi:10.1093/biomet/38.1-2.196 · Cited by 2,470
A measure of betweenness centrality based on random walks
Newman, M. E. J. (2005) · Social Networks · doi:10.1016/j.socnet.2004.11.009 · Cited by 2,461
Community Structure in Time-Dependent, Multiscale, and Multiplex Networks
Mucha, P. J., Richardson, T., Macon, K., Porter, M. A., & Onnela, J.-P. (2010) · Science · doi:10.1126/science.1184819 · Cited by 2,123
Havlin, S., & Ben-Avraham, D. (1987) · Advances in Physics · doi:10.1080/00018738700101072 · Cited by 1,808
Cited by
Kivela, M., Arenas, A., Barthelemy, M., Gleeson, J. P., Moreno, Y., & Porter, M. A. (2014) · Journal of Complex Networks · doi:10.1093/comnet/cnu016 · Cited by 3,235
Self-citationStructural reducibility of multilayer networks
De Domenico, M., Nicosia, V., Arenas, A., & Latora, V. (2015) · Nature Communications · doi:10.1038/ncomms7864 · Cited by 661
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
The physics of spreading processes in multilayer networks
De Domenico, M., Granell, C., Porter, M. A., & Arenas, A. (2016) · Nature Physics · doi:10.1038/nphys3865 · Cited by 649
Ranking in interconnected multilayer networks reveals versatile nodes
De Domenico, M., Solé-Ribalta, A., Omodei, E., Gómez, S., & Arenas, A. (2015) · Nature Communications · doi:10.1038/ncomms7868 · Cited by 459
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Metadata
- Authors
- De Domenico, M., Solé-Ribalta, A., Gómez, S., & Arenas, A.
- Venue
- Proceedings of the National Academy of Sciences
- Published
- 2014-05-27
- Volume
- 111
- Issue
- 23
- Pages
- 8351-8356
- ISSN
- 0027-8424 (ISSN-L)
- 1091-6490
- OpenAlex
- W1807089695
- Cited by
- 548
- References
- 43
- FWCI
- 31.42
- Type
- journal article
- Language
- en
- Open access
- green
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