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General formalism for inhomogeneous random graphs
Open accessAbstract
We present and investigate an extension of the classical random graph to a general class of inhomogeneous random graph models, where vertices come in different types, and the probability of realizing an edge depends on the types of its terminal vertices. This approach provides a general framework for the analysis of a large class of models. The generic phase structure is derived using generating function techniques, and relations to other classes of models are pointed out.
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Cited by
The Structure and Function of Complex Networks
Newman, M. E. J. (2003) · SIAM Review · doi:10.1137/s003614450342480 · Cited by 18,719
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
The structure and dynamics of multilayer networks
Boccaletti, S., Bianconi, G., Criado, R., del Genio, C. I., Gómez-Gardeñes, J., Romance, M., Sendiña-Nadal, I., Wang, Z., & Zanin, M. (2014) · Physics Reports · doi:10.1016/j.physrep.2014.07.001 · Cited by 3,125
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
Nonequilibrium phase transition in the coevolution of networks and opinions
Holme, P., & Newman, M. E. J. (2006) · Physical Review E · doi:10.1103/physreve.74.056108 · Cited by 621
Metadata
- Authors
- Söderberg, B.
- Venue
- Physical Review E
- Publisher
- American Physical Society (APS)
- Published
- 2002-12-18
- Volume
- 66
- Issue
- 6
- Pages
- 066121-066121
- ISSN
- 1063-651X (ISSN-L)
- 1095-3787
- OpenAlex
- W2067951359
- Cited by
- 244
- References
- 0
- FWCI
- 4.60
- Type
- journal article
- Language
- en
- Open access
- green
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