A Mutual Selection Model for Weighted Networks

Details A Mutual Selection Model for Weighted Networks A Mutual Selection Model for Weighted Networks

2005-04-04

arxiv.org/abs/cond-mat/0504062v1

Physical Review E 72, 046140(2005)

Physics

Condensed Matter

Statistical Mechanics

12 eps figures, 8 pages

Scientific paper

10.1103/PhysRevE.72.046140

For most networks, the connection between two nodes is the result of their mutual affinity and attachment. In this paper, we propose a mutual selection model to characterize the weighted networks. By introducing a general mechanism of mutual selection, the model can produce power-law distributions of degree, weight and strength, as confirmed in many real networks. Moreover, we also obtained the nontrivial clustering coefficient $C$, degree assortativity coefficient $r$ and degree-strength correlation, depending on a model parameter $m$. These results are supported by present empirical evidences. Studying the degree-dependent average clustering coefficient $C(k)$ and the degree-dependent average nearest neighbors' degree $k_{nn}(k)$ also provide us with a better description of the hierarchies and organizational architecture of weighted networks.

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