Weighted Evolving Networks: Coupling Topology and Weight Dynamics
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- 4 June 2004
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 92 (22) , 228701
- https://doi.org/10.1103/physrevlett.92.228701
Abstract
We propose a model for the growth of weighted networks that couples the establishment of new edges and vertices and the weights’ dynamical evolution. The model is based on a simple weight-driven dynamics and generates networks exhibiting the statistical properties observed in several real-world systems. In particular, the model yields a nontrivial time evolution of vertices’ properties and scale-free behavior for the weight, strength, and degree distributions.Keywords
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This publication has 14 references indexed in Scilit:
- The architecture of complex weighted networksProceedings of the National Academy of Sciences, 2004
- Global organization of metabolic fluxes in the bacterium Escherichia coliNature, 2004
- Compartments revealed in food-web structureNature, 2003
- Weighted scale-free networks with stochastic weight assignmentsPhysical Review E, 2003
- Evolution of the social network of scientific collaborationsPublished by Elsevier ,2002
- Statistical mechanics of complex networksReviews of Modern Physics, 2002
- Scientific collaboration networks. II. Shortest paths, weighted networks, and centralityPhysical Review E, 2001
- Weighted Evolving NetworksPhysical Review Letters, 2001
- Classes of small-world networksProceedings of the National Academy of Sciences, 2000
- The Strength of Weak TiesAmerican Journal of Sociology, 1973