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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Institution: | (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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