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Título : Effective dimensions and percolation in hierarchicaly structured scale-free networks
Autor : Eguíluz, Víctor M., Hernández-García, Emilio, Piro, Oreste, Klemm, Konstantin
Palabras clave : [PACS] Networks and genealogical trees
[PACS] Computational methods in statistical physics and nonlinear dynamics
Fecha de publicación : 24-Nov-2003
Editor: American Physical Society
Resumen: 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.
Descripción : 4 pages, 5 figures.-- PACS nrs.: 89.75.Hc, 05.10.2a.-- ArXiv pre-print available at: http://arxiv.org/abs/cond-mat/0302515
Versión del editor: http://dx.doi.org/10.1103/PhysRevE.68.055102
URI : http://hdl.handle.net/10261/15345
ISSN: 1539-3755
DOI: 10.1103/PhysRevE.68.055102
Citación : Physical Review E 68(5): 055102 (2003)
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