Recursive weighted treelike networks

Zhongzhi Zhang (), Shuigeng Zhou (), Lichao Chen, Jihong Guan, Lujun Fang and Yichao Zhang

The European Physical Journal B: Condensed Matter and Complex Systems, 2007, vol. 59, issue 1, 99-107

Abstract: 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. Copyright EDP Sciences/Società Italiana di Fisica/Springer-Verlag 2007

Keywords: 89.75.Hc Networks and genealogical trees, 02.10.Ox Combinatorics; graph theory, 89.75.Da Systems obeying scaling laws, 89.20.-a Interdisciplinary applications of physics, (search for similar items in EconPapers)
Date: 2007
References: View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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DOI: 10.1140/epjb/e2007-00264-6

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