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The degree distribution of simple generalized collaboration networks

Kong Xiang-Xing Hou Zhen-Ting Zhao Qing-Gui

The degree distribution of simple generalized collaboration networks

Kong Xiang-Xing, Hou Zhen-Ting, Zhao Qing-Gui
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Publishing process
  • Received Date:  14 August 2008
  • Accepted Date:  11 December 2008
  • Published Online:  05 May 2009

The degree distribution of simple generalized collaboration networks

  • 1. (1)中南大学数学科学与计算技术学院,长沙 410075; (2)中南大学数学科学与计算技术学院,长沙 410075;重庆文理学院数学与统计学院,重庆 402160

Abstract: We study three special cases of simple generalized collaboration networks, namely the preferential attachment, random attachment and mixed attachment networks. Based on Markov chain theory, we provide a rigorous proof for the existence of the steady-state degree distribution of the network generated by this model and obtain its corresponding exact formula. In particular, for mixed attachment, if it has preferential attachment, degree distribution of the network obeys power-law distribution, and it is a scale-free network.

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