Effective dimensions and percolation in hierarchically structured scale-free networks.
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.
Eguíluz
Víctor M
VM
Instituto Mediterráneo de Estudios Avanzados IMEDEA (CSIC-UIB), E07071 Palma de Mallorca, Spain.
Hernández-García
Emilio
E
Piro
Oreste
O
Klemm
Konstantin
K