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http://hdl.handle.net/10397/5090
| 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/ |
| Appears in Collections: | Journal/Magazine Article |
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|---|---|---|---|---|
| Xu_Revising_Assortativity_Networks.pdf | 347.55 kB | Adobe PDF | View/Open |
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