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Evolution of Weighted Networks by Duplication--Divergence Mechanism |
| ZHANG Jian-Guo;YAN Jia-Ren;LIU Zi-Ran;WANG Li |
| Department of Physics, Hunan Normal University, Changsha 410081 |
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| Cite this article: |
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ZHANG Jian-Guo, YAN Jia-Ren, LIU Zi-Ran et al 2006 Chin. Phys. Lett. 23 2330-2333 |
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Abstract The duplication and divergence process is ubiquitous in nature and man-made networks. Motivated by the duplication--divergence mechanism which depicts the growth of protein networks, we propose a weighted network model in which topological evolution is coupled with weight dynamics. Large scale numerical results indicate that our model can naturally generate networks with power-law-like distributions of degree, strength and weight. The degree--strength correlation is illustrated as well. These properties are in agreement well with empirical data observed in real-world systems. Furthermore, by altering the retention probability σ, weighted, structured exponential networks are realized.
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89.75.Hc
05.45.-a
87.23.Kg
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Published: 01 August 2006
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| PACS: |
89.75.Hc
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(Networks and genealogical trees)
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05.45.-a
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(Nonlinear dynamics and chaos)
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87.23.Kg
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(Dynamics of evolution)
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