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http://hdl.handle.net/10397/5378
| Title: | Rich-club connectivity dominates assortativity and transitivity of complex networks | Authors: | Xu, X Zhang, J Small, M |
Issue Date: | Oct-2010 | Source: | Physical review. E, Statistical, nonlinear, and soft matter physics, Oct. 2010, v. 82, no. 4, 046117, p. 1-4 | Abstract: | Rich-club, assortativity and clustering coefficients are frequently used measures to estimate topological properties of complex networks. Here we find that the connectivity among a very small portion of the richest nodes can dominate the assortativity and clustering coefficients of a large network, which reveals that the rich-club connectivity is leveraged throughout the network. Our study suggests that more attention should be paid to the organization pattern of rich nodes, for the structure of a complex system as a whole is determined by the associations between the most influential individuals. Moreover, by manipulating the connectivity pattern in a very small rich-club, it is sufficient to produce a network with desired assortativity or transitivity. Conversely, our findings offer a simple explanation for the observed assortativity and transitivity in many real world networks—such biases can be explained by the connectivities among the richest nodes. | Keywords: | Complex networks Topology |
Publisher: | American Physical Society | Journal: | Physical review. E, Statistical, nonlinear, and soft matter physics | ISSN: | 1539-3755 | EISSN: | 1550-2376 | DOI: | 10.1103/PhysRevE.82.046117 | Rights: | Physical Review E © 2010 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_Rich-club_Connectivity_Networks.pdf | 90.11 kB | Adobe PDF | View/Open |
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