Degree Distribution of a Two-Component Growing Network

Jianhong Ke; Xiaoshuang Chen

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.

Keywords: growing network connectivity scale-free rate equation approach

Published: 2012-05-11

: http://dx.doi.org/10.1007/978-3-642-02469-6_60