Recursive weighted treelike networks

Details Recursive weighted treelike networks Recursive weighted treelike networks

2007-04-23

arxiv.org/abs/0704.2951v1

Eur. Phys. J. B 59, 99-107 (2007)

Physics

Physics and Society

Scientific paper

10.1140/epjb/e2007-00264-6

We propose a geometric growth model for weighted scale-free networks, which is controlled by two tunable parameters. We derive exactly the main characteristics of the networks, which are partially determined by the parameters. Analytical results indicate that the resulting networks have power-law distributions of degree, strength, weight and betweenness, a scale-free behavior for degree correlations, logarithmic small average path length and diameter with network size. The obtained properties are in agreement with empirical data observed in many real-life networks, which shows that the presented model may provide valuable insight into the real systems.

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