| CROSS-DISCIPLINARY PHYSICS AND RELATED AREAS OF SCIENCE AND TECHNOLOGY |
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Power-Law Exponent for Exponential Growth Network |
| WANG Li-Na1,2, CHEN Bin1**, ZANG Chen-Rui3 |
1Business School, University of Shanghai for Science and Technology, Shanghai 200093
2College of Sciences, Inner Mongolian University of Technology, Hohhot 010051
3China Unicom Inner Mongolian Branch, Hohhot 010020 |
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Abstract The question of the power-law exponent of exponential growth networks is studied here. In a discrete case, the degree distribution is defined as the probability distribution of the discrete variable. Based on this, the degree distribution of the pseudofractal scale-free web, an exponential growth network, is obtained. The power-law exponent ln3/ln2 is analyzed according to the maximum likelihood principle. It satisfies consistency and is good for small generations of the network. For many exponential growth networks, their power-law exponent needs to be tested. The work provides a new view on the power-law exponent of an exponential growth network.
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Received: 06 April 2012
Published: 31 July 2012
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