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Impact of edges for new nodes on scale-free networks

Guo Jin-Li

Impact of edges for new nodes on scale-free networks

Guo Jin-Li
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  • PDF Downloads:  1179
  • Cited By: 0
Publishing process
  • Received Date:  16 July 2007
  • Accepted Date:  25 August 2007
  • Published Online:  05 January 2008

Impact of edges for new nodes on scale-free networks

  • 1. 上海理工大学管理学院,上海 200093

Abstract: This paper analyses the impact of edges for new nodes on scale-free networks. Although non-stationary average degree distribution of a sub-linearly growing network follows the power law, the stationary average degree distribution of the network does not. This paper proposes a random growth model whose node arrival process is a renewal process and the number of new edges is a random variable with binomial distribution. The result shows that the stationary average degree distribution of the model follows the power law under an appropriate condition, and the condition is found.

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