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The effect of hub nodes on the community structure in scale-free networks

Author

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  • Wang, Yang
  • Hu, Yanqing
  • Di, Zengru
  • Fan, Ying

Abstract

Many networks have two important features in common (1) the scale-free degree distribution P(k)∝k−α and (2) the community structure. In this paper, we focus on the relationship between these two features in complex networks. We first investigate the effect of the power law exponent α on the community structure in artificial networks and some real-world networks. Generally speaking, we find out that the networks with significant community structure, often have a large α. Second, hub nodes removal from scale-free networks affects the community structure more considerably than random removal. Our observation indicates that hubs may be the explanation for that scale-free networks often have fuzzy community structure.

Suggested Citation

  • Wang, Yang & Hu, Yanqing & Di, Zengru & Fan, Ying, 2011. "The effect of hub nodes on the community structure in scale-free networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(21), pages 4027-4033.
    • Handle: RePEc:eee:phsmap:v:390:y:2011:i:21:p:4027-4033
    DOI: 10.1016/j.physa.2011.06.031
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    Cited by:

    1. Long, Yong-Shang & Jia, Zhen & Wang, Ying-Ying, 2018. "Coarse graining method based on generalized degree in complex network," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 505(C), pages 655-665.
    2. Yang, Qing-Lin & Wang, Li-Fu & Zhao, Guo-Tao & Guo, Ge, 2020. "A coarse graining algorithm based on m-order degree in complex network," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 558(C).

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