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Effective dimensions and percolation in hierarchicaly structured scale-free networks

AuthorsEguíluz, Víctor M. ; Hernández-García, Emilio ; Piro, Oreste ; Klemm, Konstantin
Keywords[PACS] Networks and genealogical trees
[PACS] Computational methods in statistical physics and nonlinear dynamics
Issue Date24-Nov-2003
PublisherAmerican Physical Society
CitationPhysical Review E 68(5): 055102 (2003)
AbstractWe 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.
Description4 pages, 5 figures.-- PACS nrs.: 89.75.Hc, 05.10.2a.-- ArXiv pre-print available at: http://arxiv.org/abs/cond-mat/0302515
Publisher version (URL)http://dx.doi.org/10.1103/PhysRevE.68.055102
Appears in Collections:(IFISC) Artículos
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