The DOI matches its Crossref record; 31 of the 31 references it cites were found in a registry or an index.
Small-World Networks: Evidence for a Crossover Picture
Open accessAbstract
Watts and Strogatz [Nature (London) 393, 440 (1998)] have recently introduced a model for disordered networks and reported that, even for very small values of the disorder $p$ in the links, the network behaves as a ``small world.'' Here, we test the hypothesis that the appearance of small-world behavior is not a phase transition but a crossover phenomenon which depends both on the network size $n$ and on the degree of disorder $p$. We propose that the average distance $\ensuremath{\ell}$ between any two vertices of the network is a scaling function of $n/{n}^{*}$. The crossover size ${n}^{*}$ above which the network behaves as a small world is shown to scale as ${n}^{*}(p\ensuremath{\ll}1)\ensuremath{\sim}{p}^{\ensuremath{-}\ensuremath{\tau}}$ with $\ensuremath{\tau}\ensuremath{\approx}2/3$.
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Cites
Collective dynamics of ‘small-world’ networks
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Evolutionary games and spatial chaos
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Statistical mechanics of complex networks
Albert, R., & Barabási, A.-L. (2002) · Reviews of Modern Physics · doi:10.1103/revmodphys.74.47 · Cited by 20,471
The Structure and Function of Complex Networks
Newman, M. E. J. (2003) · SIAM Review · doi:10.1137/s003614450342480 · Cited by 18,719
Complex networks: structure and dynamics
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
Error and attack tolerance of complex networks
Albert, R., Jeong, H., & Barabási, A.-L. (2000) · Nature · doi:10.1038/35019019 · Cited by 7,534
Efficient behavior of small-world networks
Latora, V., & Marchiori, M. (2001) · Physical Review Letters · doi:10.1103/physrevlett.87.198701 · Cited by 5,119
Metadata
- Authors
- Barthélémy, M., & Amaral, L. A. N.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 1999-04-12
- Volume
- 82
- Issue
- 15
- Pages
- 3180-3183
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W2035409992
- Cited by
- 306
- References
- 31
- FWCI
- 22.28
- Type
- journal article
- Language
- en
- Open access
- green
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Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
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.
