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标题:A new information dimension of complex networks
时间:2019-12-03 19:32:29
DOI:10.1016/j.physleta.2014.02.010
作者:Wei, Daijun; Wei, Bo; Hu, Yong
关键词:Fractal; Self-similarity; Information dimension; Complex networks
出版源: 《Physics Letters A》 ,378 (16-17) :1091-1094
摘要:The fractal and self-similarity properties are revealed in many complex networks. The classical information dimension is an important method to study fractal and self-similarity properties of planar networks. However, it is not practical for real complex networks. In this Letter, a new information dimension of complex networks is proposed. The nodes number in each box is considered by using the box-covering algorithm of complex networks. The proposed method is applied to calculate the fractal dimensions of some real networks. Our results show that the proposed method is efficient when dealing with the fractal dimension problem of complex networks. (C) 2014 Elsevier B.V. All rights reserved.
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目录:
  • A new information dimension of complex networks
    • 1 Introduction
    • 2 The classical information dimension of complex networks
    • 3 A new information dimension of complex networks
      • 3.1 The classical box-covering algorithm of complex networks
      • 3.2 Definition of proposed information dimension of complex networks
    • 4 Applications
    • 5 Discussions and conclusions
    • Acknowledgements
    • References

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