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
weighted networks, weight dynamics, edges, vertices
Subject Categories
Topology
Disciplines
Physics
Publisher
American Physical Society
Publication Date
6-4-2004
Rights Information
©2004 American Physical Society
Rights Holder
American Physical Society
Permanent URL
Recommended Citation
Barrat, A; Barthelemy, M; and Vespignani, A, "Weighted evolving networks: coupling topology and weight dynamics" (2004). Physics Faculty Publications. Paper 188. http://hdl.handle.net/2047/d20002148
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Notes
Originally published in Physical Review Letters, v.92 no.22 (2004), 228701. DOI:10.1103/PhysRevLett.92.228701. Dr. Vespignani is affiliated with Northeastern University as of the time of deposit.