Please use this identifier to cite or link to this item: http://hdl.handle.net/10397/5090
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Title: Revising the simple measures of assortativity in complex networks
Authors: Xu, X
Zhang, J
Sun, J
Small, M
Issue Date: 17-Nov-2009
Source: Physical review. E, Statistical, nonlinear, and soft matter physics, Nov. 2009, v. 80, no. 5, 056106, p. 1-7
Abstract: We find that traditional statistics for measuring degree mixing are strongly affected by superrich nodes. To counteract and measure the effect of superrich nodes, we propose a paradigm to quantify the mixing pattern of a real network in which different mixing patterns may appear among low-degree nodes and among high-degree nodes. This paradigm and the simple revised measure uncover the true complex degree mixing patterns of complex networks with superrich nodes. The alternate method indicates that some networks show a false disassortative mixing induced by superrich nodes and have no tendency to be genuinely disassortative. Our results also show that the previously observed fragility of scale-free networks is actually greatly exacerbated by the presence of even a very small number of superrich nodes.
Keywords: Complex networks
Network theory (graphs)
Statistical analysis
Publisher: American Physical Society
Journal: Physical review. E, Statistical, nonlinear, and soft matter physics 
ISSN: 1539-3755
EISSN: 1550-2376
DOI: 10.1103/PhysRevE.80.056106
Rights: Physical Review E © 2009 The American Physical Society. The Journal's web site is located at http://pre.aps.org/
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