Vertex Intrinsic Fitness: How to Produce Arbitrary Scale-Free Networks

Details Vertex Intrinsic Fitness: How to Produce Arbitrary Scale-Free Networks Vertex Intrinsic Fitness: How to Produce Arbitrary Scale-Free Networks

2003-09-29

arxiv.org/abs/cond-mat/0309659v1

Physics

Condensed Matter

Statistical Mechanics

4 pages, 3 figures, RevTex

Scientific paper

10.1103/PhysRevE.70.056126

We study a recent model of random networks based on the presence of an intrinsic character of the vertices called fitness. The vertices fitnesses are drawn from a given probability distribution density. The edges between pair of vertices are drawn according to a linking probability function depending on the fitnesses of the two vertices involved. We study here different choices for the probability distribution densities and the linking functions. We find that, irrespective of the particular choices, the generation of scale-free networks is straightforward. We then derive the general conditions under which scale-free behavior appears. This model could then represent a possible explanation for the ubiquity and robustness of such structures.

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