Complex Sciences. First International Conference, Complex 2009, Shanghai, China, February 23-25, 2009, Revised Papers, Part 2

Research Article

A More Strict Definition of Steady State Degree Distribution

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  • @INPROCEEDINGS{10.1007/978-3-642-02469-6_13,
        author={Xiaojun Zhang and Zheng He},
        title={A More Strict Definition of Steady State Degree Distribution},
        proceedings={Complex Sciences. First International Conference, Complex 2009, Shanghai, China, February 23-25, 2009, Revised Papers, Part 2},
        proceedings_a={COMPLEX PART 2},
        year={2012},
        month={5},
        keywords={Steady state degree distribution evolving network stochastic process},
        doi={10.1007/978-3-642-02469-6_13}
    }
    
  • Xiaojun Zhang
    Zheng He
    Year: 2012
    A More Strict Definition of Steady State Degree Distribution
    COMPLEX PART 2
    Springer
    DOI: 10.1007/978-3-642-02469-6_13
Xiaojun Zhang1, Zheng He2
  • 1: School of Applied Mathematics
  • 2: University of Electronic Science and Technology of China

Abstract

Accurate definitions of related concepts are prerequisite for further understanding of evolving network. To be an important concept, steady state degree distribution has been widely used. However, as we find out, all current definitions have a common default from mathematics point of view. In this paper, we first point out the shortcoming of current definitions through a special type of evolving network, and then provide a more strict definition of steady state degree distribution from stochastic process point of view.