Recursive weighted treelike networks |
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Authors: | Zhongzhi Zhang Shuigeng Zhou Lichao Chen Jihong Guan Lujun Fang Yichao Zhang |
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Affiliation: | (1) Department of Computer Science and Engineering, Fudan University, Shanghai, 200433, P.R. China;(2) Shanghai Key Lab of Intelligent Information Processing, Fudan University, Shanghai, 200433, P.R. China;(3) Department of Computer Science and Technology, Tongji University, 4800 Cao'an Road, Shanghai, 201804, P.R. China;(4) School of Material and Engineering, Shanghai University, Shanghai, 200072, P.R. China |
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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. |
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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 |
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