The DOI matches its Crossref record; 3 of the 3 references it cites were found in a registry or an index.
Topology of Evolving Networks: Local Events and Universality
Open accessAbstract
Networks grow and evolve by local events, such as the addition of new nodes and links, or rewiring of links from one node to another. We show that depending on the frequency of these processes two topologically different networks can emerge, the connectivity distribution following either a generalized power law or an exponential. We propose a continuum theory that predicts these two regimes as well as the scaling function and the exponents, in good agreement with numerical results. Finally, we use the obtained predictions to fit the connectivity distribution of the network describing the professional links between movie actors.
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Citations
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
Self-citationSocial Network Analysis: Methods and Applications
Wasserman, S., & Faust, K. (1994) · doi:10.1017/cbo9780511815478 · Cited by 17,557
Classes of small-world networks
Amaral, L. A. N., Scala, A., Barthélémy, M., & Stanley, H. E. (2000) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.200327197 · Cited by 3,051
Cited by
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
Self-citationThe 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
A General Framework for Weighted Gene Co-Expression Network Analysis
Zhang, B., & Horvath, S. (2005) · Statistical Applications in Genetics and Molecular Biology · doi:10.2202/1544-6115.1128 · Cited by 5,684
Bassett, D. S., & Bullmore, E. (2006) · The Neuroscientist · doi:10.1177/1073858406293182 · Cited by 2,600
Hierarchical organization in complex networks
Ravasz, E., & Barabási, A.-L. (2003) · Physical Review E · doi:10.1103/physreve.67.026112 · Cited by 2,160
Self-citationEvolution of the social network of scientific collaborations
Barabási, A. L., Jeong, H., Néda, Z., Ravasz, E., Schubert, A., & Vicsek, T. (2002) · Physica A: Statistical Mechanics and its Applications · doi:10.1016/s0378-4371(02)00736-7 · Cited by 1,972
Self-citationCompetition and multiscaling in evolving networks
Bianconi, G., & Barabási, A.-L. (2001) · Europhysics Letters (EPL) · doi:10.1209/epl/i2001-00260-6 · Cited by 1,067
Self-citationBose-Einstein Condensation in Complex Networks
Bianconi, G., & Barabási, A.-L. (2001) · Physical Review Letters · doi:10.1103/physrevlett.86.5632 · Cited by 808
Self-citationLarge-scale topological and dynamical properties of the Internet
Vázquez, A., Pastor-Satorras, R., & Vespignani, A. (2002) · Physical Review E · doi:10.1103/physreve.65.066130 · Cited by 712
Coevolution of Strategy and Structure in Complex Networks with Dynamical Linking
Pacheco, J. M., Traulsen, A., & Nowak, M. A. (2006) · Physical Review Letters · doi:10.1103/physrevlett.97.258103 · Cited by 697
Cooperation Prevails When Individuals Adjust Their Social Ties
Santos, F. C., Pacheco, J. M., & Lenaerts, T. (2006) · PLoS Computational Biology · doi:10.1371/journal.pcbi.0020140 · Cited by 556
“For instance, the network of movie actors exhibits an average connectivity of 30 [17], whereas collaboration networks based on co-authorship of published papers vary from average values of 4 (mathematics), to 9 (physics) up to 15 (biology) [13].”
BackgroundSize-dependent degree distribution of a scale-free growing network
Dorogovtsev, S. N., Mendes, J. F. F., & Samukhin, A. N. (2001) · Physical Review E · doi:10.1103/physreve.63.062101 · Cited by 311
Maximal planar networks with large clustering coefficient and power-law degree distribution
Zhou, T., Yan, G., & Wang, B.-H. (2005) · Physical Review E · doi:10.1103/physreve.71.046141 · Cited by 265
Quantum statistics in complex networks
Bianconi, G. (2002) · Physical Review E · doi:10.1103/physreve.66.056123 · Cited by 46
Radiolysis Generates a Complex Organosynthetic Chemical Network
Adam, Z., Fahrenbach, A. C., Jacobson, S. M., Kacar, B., & Zubarev, D. Y. (2019) · doi:10.26434/chemrxiv.10148684 · Cited by 34
Metadata
- Authors
- Albert, R., & Barabási, A.-L.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 2000-12-11
- Volume
- 85
- Issue
- 24
- Pages
- 5234-5237
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W2080201763
- Cited by
- 1,308
- References
- 3
- FWCI
- 29.42
- Type
- journal article
- Language
- en
- Open access
- green
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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.
