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Title

Rich-club vs rich-multipolarization phenomena in weighted networks

AuthorsSerrano, M. Ángeles CSIC
KeywordsComplex networks
Hierarchical systems
Interconnected systems
[PACS] Networks and genealogical trees
Issue Date4-Aug-2008
PublisherAmerican Physical Society
CitationPhysical Review E 78(2): 026101 (2008)
AbstractLarge-scale hierarchies characterize complex networks in different domains. Elements at the top, usually the most central or influential, may show multipolarization or tend to club together, forming tightly interconnected communities. The rich-club phenomenon quantified this tendency based on unweighted network representations. Here, we define this metric for weighted networks and discuss the appropriate normalization which preserves the nodes' strengths and discounts structural strength-strength correlations if present. We find that in some real networks the results given by the weighted rich-club coefficient can be in sharp contrast to the ones in the unweighted approach. We also discuss the ability of the scanning of weighted subgraphs formed by the high-strength hubs to unveil features in contrast to the average: the formation of local alliances in multipolarized environments, or a lack of cohesion even in the presence of rich-club ordering. Beyond structure, this analysis matters for correct understanding of functionalities and dynamical processes relying on hub interconnectedness.
Description5 pages, 2 figures.-- PACS nr.: 89.75.Hc.-- ArXiv pre-print available at: http://arxiv.org/abs/0802.3122
Publisher version (URL)http://dx.doi.org/10.1103/PhysRevE.78.026101
URIhttp://hdl.handle.net/10261/12859
DOI10.1103/PhysRevE.78.026101
ISSN1063-651X
E-ISSN1095-3787
Appears in Collections:(IFISC) Artículos




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