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Entangled Networks, Synchronization, and Optimal Network Topology
Open accessAbstract
A new family of graphs, entangled networks, with optimal properties in many respects, is introduced. By definition, their topology is such that it optimizes synchronizability for many dynamical processes. These networks are shown to have an extremely homogeneous structure: degree, node distance, betweenness, and loop distributions are all very narrow. Also, they are characterized by a very interwoven (entangled) structure with short average distances, large loops, and no well-defined community structure. This family of nets exhibits an excellent performance with respect to other flow properties such as robustness against errors and attacks, minimal first-passage time of random walks, efficient communication, etc. These remarkable features convert entangled networks in a useful concept, optimal or almost optimal in many senses, and with plenty of potential applications in computer science or neuroscience.
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Citations
Cited by
Synchronization in complex networks
Arenas, A., Díaz-Guilera, A., Kurths, J., Moreno, Y., & Zhou, C. (2008) · Physics Reports · doi:10.1016/j.physrep.2008.09.002 · Cited by 3,713
Barthélemy, M. (2011) · Physics Reports · doi:10.1016/j.physrep.2010.11.002 · Cited by 2,469
The application of graph theoretical analysis to complex networks in the brain
Reijneveld, J. C., Ponten, S. C., Berendse, H. W., & Stam, C. J. (2007) · Clinical Neurophysiology · doi:10.1016/j.clinph.2007.08.010 · Cited by 522
Explosive transitions in complex networks’ structure and dynamics: Percolation and synchronization
Boccaletti, S., Almendral, J. A., Guan, S., Leyva, I., Liu, Z., Sendiña-Nadal, I., Wang, Z., & Zou, Y. (2016) · Physics Reports · doi:10.1016/j.physrep.2016.10.004 · Cited by 363
Metadata
- Authors
- Donetti, L., Hurtado, P. I., & Muñoz, M. A.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 2005-10-24
- Volume
- 95
- Issue
- 18
- Pages
- 188701-188701
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W2034904095
- Cited by
- 346
- References
- 0
- FWCI
- 16.67
- Type
- journal article
- Language
- en
- Open access
- green
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- Donetti, L., Hurtado, P. I., & Muñoz, M. A. (2005). Entangled Networks, Synchronization, and Optimal Network Topology. Physical Review Letters. https://doi.org/10.1103/physrevlett.95.188701
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
