4.5 Article

DYNAMICS BEHAVIORS OF WEIGHTED LOCAL-WORLD EVOLVING NETWORKS WITH EXTENDED LINKS

Journal

INTERNATIONAL JOURNAL OF MODERN PHYSICS C
Volume 20, Issue 11, Pages 1719-1735

Publisher

WORLD SCIENTIFIC PUBL CO PTE LTD
DOI: 10.1142/S0129183109014692

Keywords

Extended links; local-world evolving model; power-law distribution; weighted networks

Funding

  1. National Natural Science Foundation of China [10832006, 60674093]

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In this paper, we present a local-world evolving model to characterize weighted networks. By introducing the extended links to mimic the weak interactions between the nodes in different local-worlds, the model yields scale-free behavior as well as the small-world property, as confirmed in many real networks. With the increase of the local information, the generated network undergoes a transition from assortative to disassortative, meanwhile the small-world property is preserved. It indicates that the small-world property is a universal characteristic in our model. The numerical simulation results are in good agreement with the analytical expressions.

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