Effective dimensions and percolation in hierarchically structured scale-free networks
- 24 November 2003
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review E
- Vol. 68 (5) , 055102
- https://doi.org/10.1103/physreve.68.055102
Abstract
We introduce appropriate definitions of dimensions in order to characterize the fractal properties of complex networks. We compute these dimensions in a hierarchically structured network of particular interest. In spite of the nontrivial character of this network that displays scale-free connectivity among other features, it turns out to be approximately one dimensional. The dimensional characterization is in agreement with the results on statistics of site percolation and other dynamical processes implemented on such a network.Keywords
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