Weighted scale-free network with self-organizing link weight dynamics

Details Weighted scale-free network with self-organizing link weight dynamics Weighted scale-free network with self-organizing link weight dynamics

2006-05-18

arxiv.org/abs/cond-mat/0605458v1

J. Stat. Mech. (2006) L05001

Physics

Condensed Matter

Statistical Mechanics

5 pages, 4 figures

Scientific paper

10.1088/1742-5468/2006/05/L05001

All crucial features of the recently observed real-world weighted networks are obtained in a model where the weight of a link is defined with a single non-linear parameter $\alpha$ as $w_{ij}=(s_is_j)^\alpha$, $s_i$ and $s_j$ are the strengths of two end nodes of the link and $\alpha$ is a continuously tunable positive parameter. In addition the definition of strength as $s_i= \Sigma_j w_{ij}$ results a self-organizing link weight dynamics leading to a self-consistent distribution of strengths and weights on the network. Using the Barab\'asi-Albert growth dynamics all exponents of the weighted networks which are continuously tunable with $\alpha$ are obtained. It is conjectured that the weight distribution should be similar in any scale-free network.

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