• Degree distribution of a new model for evolving networks

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      https://www.ias.ac.in/article/fulltext/pram/074/03/0469-0474

    • Keywords

       

      Evolving networks; degree distribution; Markov chain; scale-free network.

    • Abstract

       

      We propose and study an evolving network model with both preferential and random attachments of new links, incorporating the addition of new nodes, new links, and the removal of links. We first show that the degree evolution of a node follows a nonhomogeneous Markov chain. Based on the concept of Markov chain, we provide the exact solution of the degree distribution of this model and show that the model can generate scale-free evolving network.

    • Author Affiliations

       

      Xuan Zhang1 Qinggui Zhao1

      1. School of Mathematics, Central South University, Changsha 410075, China
    • Dates

       
  • Pramana – Journal of Physics | News

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      Posted on July 25, 2019

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