Evolving small-world networks with geographical attachment preference

Details Evolving small-world networks with geographical attachment preference Evolving small-world networks with geographical attachment preference

2005-10-26

arxiv.org/abs/cond-mat/0510682v1

J. Phys. A: Math. Gen. 39 (2006) 3253-3261

Physics

Condensed Matter

Statistical Mechanics

11 pages, 4 figures

Scientific paper

10.1088/0305-4470/39/13/005

We introduce a minimal extended evolving model for small-world networks which is controlled by a parameter. In this model the network growth is determined by the attachment of new nodes to already existing nodes that are geographically close. We analyze several topological properties for our model both analytically and by numerical simulations. The resulting network shows some important characteristics of real-life networks such as the small-world effect and a high clustering.

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