Complex Sciences. First International Conference, Complex 2009, Shanghai, China, February 23-25, 2009. Revised Papers, Part 1

Research Article

Scale-Free Networks with Different Types of Nodes

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  • @INPROCEEDINGS{10.1007/978-3-642-02466-5_99,
        author={Juan Zhang and Wenfeng Wu},
        title={Scale-Free Networks with Different Types of Nodes},
        proceedings={Complex Sciences. First International Conference, Complex 2009, Shanghai, China, February 23-25, 2009. Revised Papers, Part 1},
        proceedings_a={COMPLEX PART 1},
        year={2012},
        month={5},
        keywords={power-law distribution degree distribution clustering coefficient weighted network mean-field method},
        doi={10.1007/978-3-642-02466-5_99}
    }
    
  • Juan Zhang
    Wenfeng Wu
    Year: 2012
    Scale-Free Networks with Different Types of Nodes
    COMPLEX PART 1
    Springer
    DOI: 10.1007/978-3-642-02466-5_99
Juan Zhang1, Wenfeng Wu1,*
  • 1: Donghua University
*Contact email: zhangjuan@dhu.edu.cn

Abstract

In many natural and social networks, nodes may play different roles or have different functions. In this paper, we propose a simple model with different types of nodes and deterministic selective linking rule. We investigate the structural properties by theoretical predictions. It is found that the given model exhibits a power-law distribution. In addition, we make the model become the weighted network by giving the links the weight and analyze the probability distribution of the node strength.