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

Research Article

Degree Distribution of a Two-Component Growing Network

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  • @INPROCEEDINGS{10.1007/978-3-642-02469-6_60,
        author={Jianhong Ke and Xiaoshuang Chen},
        title={Degree Distribution of a Two-Component Growing Network},
        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={growing network connectivity scale-free rate equation approach},
        doi={10.1007/978-3-642-02469-6_60}
    }
    
  • Jianhong Ke
    Xiaoshuang Chen
    Year: 2012
    Degree Distribution of a Two-Component Growing Network
    COMPLEX PART 2
    Springer
    DOI: 10.1007/978-3-642-02469-6_60
Jianhong Ke,*, Xiaoshuang Chen1
  • 1: Chinese Academy of Sciences
*Contact email: kejianhong@yahoo.com.cn

Abstract

We propose a two-component growing network model which comprises two kinds of nodes. Such a network is constructed by introducing new nodes of either kind with no immediate links and creating new links between any two nodes. We then investigate the connectivity of the two-component growing network by means of the rate equation approach. For a network system with shifted linear connection rate kernels, the in-degree and out-degree distributions take power-law forms; while for a random growing network, the in-degree and out-degree distributions are both exponential. Moreover, the in-degree and out-degree distributions are correlated each other.