Weighted Fractal Networks
arXiv:0908.4509 · doi:10.1016/j.physa.2010.01.019
Abstract
In this paper we define a new class of weighted complex networks sharing several properties with fractal sets, and whose topology can be completely analytically characterized in terms of the involved parameters and of the fractal dimension. The proposed framework defines an unifying general theory of fractal networks able to unravel some hidden mechanisms responsible for the emergence of fractal structures in Nature.
10 pages, 7 Figures
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Cited by in corpus (6)
- Self-similar scaling of density in complex real-world networks
- Multifractal analysis of weighted networks by a modified sandbox algorithm
- Multifractality in random networks with power-law decaying bond strengths
- Stochastic Weighted Fractal Networks
- A Survey of Evolving Models for Weighted Complex Networks based on their Dynamics and Evolution
- Modelling the Self-similarity in Complex Networks Based on Coulomb's Law