| CROSS-DISCIPLINARY PHYSICS AND RELATED AREAS OF SCIENCE AND TECHNOLOGY |
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Mandelbrot Law of Evolving Networks |
| REN Xue-Zao1, YANG Zi-Mo2, WANG Bing-Hong1,3, ZHOU Tao2,3** |
1School of Science, Southwest University of Science and Technology, Mianyang 621010
2Web Sciences Center, University of Electronic Science and Technology of China, Chengdu 610054
3Department of Modern Physics, University of Science and Technology of China, Hefei 230026
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| Cite this article: |
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ZHOU Tao, YANG Zi-Mo, WANG Bing-Hong et al 2012 Chin. Phys. Lett. 29 038904 |
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Abstract We show that the degree distribution of a growing network with linear preferential attachment approximately follows the Mandelbrot law, and propose an analytical method based on a recursive formula that can be used to obtain a more accurate expression of the shifting coefficient. Simulations demonstrate the advantages of our method. This work provides a possible mechanism leading to the Mandelbrot law of evolving networks, and refines the mainstream analytical methods for the shifting coefficient.
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| Keywords:
89.75.Hc
89.75.Fb
02.50.-r
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Received: 24 December 2011
Published: 11 March 2012
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| PACS: |
89.75.Hc
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(Networks and genealogical trees)
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89.75.Fb
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(Structures and organization in complex systems)
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02.50.-r
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(Probability theory, stochastic processes, and statistics)
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