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Please use this identifier to cite or link to this item: http://hdl.handle.net/10261/15345
Title: Effective dimensions and percolation in hierarchicaly structured scale-free networks
Authors: Eguíluz, 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 Date: 24-Nov-2003
Publisher: American Physical Society
Citation: Physical Review E 68(5): 055102 (2003)
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.
Description: 4 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
URI: http://hdl.handle.net/10261/15345
DOI: 10.1103/PhysRevE.68.055102
ISSN: 1539-3755
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