Power-Law Exponent for Exponential Growth Network
WANG Li-Na1,2 , CHEN Bin1** , ZANG Chen-Rui3
1 Business School, University of Shanghai for Science and Technology, Shanghai 200093 2 College of Sciences, Inner Mongolian University of Technology, Hohhot 010051 3 China Unicom Inner Mongolian Branch, Hohhot 010020
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.
收稿日期: 2012-04-06
出版日期: 2012-07-31
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2012, Vol. 29 
