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The Correlation Fractal Dimension Of Complex Networks

Author

Listed:
  • XINGYUAN WANG

    (School of Electronic and Information Engineering, Dalian University of Technology, 116024, P. R. China)

  • ZHENZHEN LIU

    (School of Electronic and Information Engineering, Dalian University of Technology, 116024, P. R. China)

  • MOGEI WANG

    (School of Electronic and Information Engineering, Dalian University of Technology, 116024, P. R. China;
    School of Electronic and Information, Ningbo Dahongying University, 315175, P. R. China)

Abstract

The fractality of complex networks is studied by estimating the correlation dimensions of the networks. Comparing with the previous algorithms of estimating the box dimension, our algorithm achieves a significant reduction in time complexity. For four benchmark cases tested, that is, theEscherichia coli(E. Coli) metabolic network, theHomo sapiensprotein interaction network (H. SapiensPIN), theSaccharomyces cerevisiaeprotein interaction network (S. CerevisiaePIN) and the World Wide Web (WWW), experiments are provided to demonstrate the validity of our algorithm.

Suggested Citation

  • Xingyuan Wang & Zhenzhen Liu & Mogei Wang, 2013. "The Correlation Fractal Dimension Of Complex Networks," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 24(05), pages 1-9.
    • Handle: RePEc:wsi:ijmpcx:v:24:y:2013:i:05:n:s0129183113500332
    DOI: 10.1142/S0129183113500332
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    Cited by:

    1. Zhou, Shuang & Wang, Xingyuan & Zhou, Wenjie & Zhang, Chuan, 2022. "Recognition of the scale-free interval for calculating the correlation dimension using machine learning from chaotic time series," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 588(C).
    2. Rosenberg, Eric, 2018. "Generalized Hausdorff dimensions of a complex network," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 511(C), pages 1-17.
    3. Wei, Bo & Deng, Yong, 2019. "A cluster-growing dimension of complex networks: From the view of node closeness centrality," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 522(C), pages 80-87.
    4. Wang, Haiying & Moore, Jack Murdoch & Small, Michael & Wang, Jun & Yang, Huijie & Gu, Changgui, 2022. "Epidemic dynamics on higher-dimensional small world networks," Applied Mathematics and Computation, Elsevier, vol. 421(C).

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