The DOI matches its Crossref record; 16 of the 16 references it cites were found in a registry or an index.
Subnets of scale-free networks are not scale-free: Sampling properties of networks
Open accessAbstract
Most studies of networks have only looked at small subsets of the true network. Here, we discuss the sampling properties of a network's degree distribution under the most parsimonious sampling scheme. Only if the degree distributions of the network and randomly sampled subnets belong to the same family of probability distributions is it possible to extrapolate from subnet data to properties of the global network. We show that this condition is indeed satisfied for some important classes of networks, notably classical random graphs and exponential random graphs. For scale-free degree distributions, however, this is not the case. Thus, inferences about the scale-free nature of a network may have to be treated with some caution. The work presented here has important implications for the analysis of molecular networks as well as for graph theory and the theory of networks in general.
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Cites
Emergence of Scaling in Random Networks
Barabási, A.-L., & Albert, R. (1999) · Science · doi:10.1126/science.286.5439.509 · Cited by 36,135
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
Community structure in social and biological networks
Girvan, M., & Newman, M. E. J. (2002) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.122653799 · Cited by 15,502
Bollobás, B. (1985) · Cited by 6,196
The Large-Scale Organization of Metabolic Networks
Jeong, H., Tombor, B., Albert, R., Oltvai, Z. N., & Barabási, A.-L. (2000) · Nature · doi:10.1038/35036627 · Cited by 4,972
Diameter of the World-Wide Web
Albert, R., Jeong, H., & Barabási, A.-L. (1999) · Nature · doi:10.1038/43601 · Cited by 4,260
Specificity and Stability in Topology of Protein Networks
Maslov, S., & Sneppen, K. (2002) · Science · doi:10.1126/science.1065103 · Cited by 3,051
Why social networks are different from other types of networks
Newman, M. E. J., & Park, J. (2003) · Physical Review E · doi:10.1103/physreve.68.036122 · Cited by 1,354
Self-Organized Criticality: Emergent Complex Behavior in Physical and Biological Systems
Jensen, H. J. (1998) · Cambridge University Press eBooks · doi:10.1017/cbo9780511622717 · Cited by 1,131
Functional and topological characterization of protein interaction networks
Yook, S., Oltvai, Z. N., & Barabási, A. (2004) · PROTEOMICS · doi:10.1002/pmic.200300636 · Cited by 613
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Menche, J., Sharma, A., Kitsak, M., Ghiassian, S. D., Vidal, M., Loscalzo, J., & Barabási, A.-L. (2015) · Science · doi:10.1126/science.1257601 · Cited by 1,546
Comparing Brain Networks of Different Size and Connectivity Density Using Graph Theory
van Wijk, B. C. M., Stam, C. J., & Daffertshofer, A. (2010) · PLoS ONE · doi:10.1371/journal.pone.0013701 · Cited by 1,161
Structure and dynamics of molecular networks: A novel paradigm of drug discovery
Csermely, P., Korcsmáros, T., Kiss, H. J. M., London, G., & Nussinov, R. (2013) · Pharmacology & Therapeutics · doi:10.1016/j.pharmthera.2013.01.016 · Cited by 892
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Metadata
- Authors
- Stumpf, M. P. H., Wiuf, C., & May, R. M.
- Venue
- Proceedings of the National Academy of Sciences
- Published
- 2005-03-14
- Volume
- 102
- Issue
- 12
- Pages
- 4221-4224
- ISSN
- 0027-8424 (ISSN-L)
- 1091-6490
- OpenAlex
- W2048596679
- Cited by
- 561
- References
- 16
- FWCI
- 22.98
- Type
- journal article
- Language
- en
- Open access
- green
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- Stumpf, M. P. H., Wiuf, C., & May, R. M. (2005). Subnets of scale-free networks are not scale-free: Sampling properties of networks. Proceedings of the National Academy of Sciences. https://doi.org/10.1073/pnas.0501179102
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