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    • 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

  • Pramana – Journal of Physics | News

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      Posted on July 25, 2019

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