Effective dimensions and percolation in hierarchically structured scale-free networks

Details Effective dimensions and percolation in hierarchically structured scale-free networks Effective dimensions and percolation in hierarchically structured scale-free networks

2003-02-25

arxiv.org/abs/cond-mat/0302515v1

Phys. Rev. E 68, 055102(R) (2003)

Physics

Condensed Matter

5 pages, 5 figures

Scientific paper

10.1103/PhysRevE.68.055102

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.

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