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    • Fulltext

       

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      Permanent link:
      https://www.ias.ac.in/article/fulltext/pram/073/05/0955-0959

    • Keywords

       

      Fixed act-size collaboration networks; Markov chain; first-passage probability; scale-free; degree distribution.

    • Abstract

       

      In this paper, we investigate a special evolving model of collaboration net-works, where the act-size is fixed. Based on the first-passage probability of Markov chain theory, this paper provides a rigorous proof for the existence of a limiting degree distribution of this model and proves that the degree distribution obeys the power-law form with the exponent adjustable between 2 and 3.

    • Author Affiliations

       

      Qinggui Zhao1 2 Xiangxing Kong1 Zhenting Hou1

      1. School of Mathematics, Central South University, Changsha 410075, China
      2. School of Mathematics and Statistics, Chongqing University of Arts and Sciences, Chongqing 402160, China

    • Dates

       
      Published
      November 2009
      Manuscript received
      5 August 2008
      Manuscript revised
      26 May 2009
      Accepted
      11 June 2009

  • Pramana – Journal of Physics | News

    • Editorial Note on Continuous Article Publication

      Posted on July 25, 2019

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