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Exploring community structure in networks by consensus dynamics

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  • He, He
  • Yang, Bo
  • Hu, Xiaoming

Abstract

This paper investigates the relationship between community structure and consensus dynamics in complex networks. We analyze the dynamical process towards consensus and show that those sets of densely interconnected nodes corresponding to well-defined communities appear in different time scales. In order to reveal such topological scales, two algorithms built around the idea of visualizing the evolution of different measured quantities are proposed. Then we test our algorithms on a few benchmark graphs whose community structures are already known. Numeric simulations are given to demonstrate the effectiveness and reliability of our methods.

Suggested Citation

  • He, He & Yang, Bo & Hu, Xiaoming, 2016. "Exploring community structure in networks by consensus dynamics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 450(C), pages 342-353.
    • Handle: RePEc:eee:phsmap:v:450:y:2016:i:c:p:342-353
    DOI: 10.1016/j.physa.2015.12.140
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    References listed on IDEAS

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    1. Steven H. Strogatz, 2001. "Exploring complex networks," Nature, Nature, vol. 410(6825), pages 268-276, March.
    2. Yang-Yu Liu & Jean-Jacques Slotine & Albert-László Barabási, 2011. "Controllability of complex networks," Nature, Nature, vol. 473(7346), pages 167-173, May.
    3. Réka Albert & Hawoong Jeong & Albert-László Barabási, 1999. "Diameter of the World-Wide Web," Nature, Nature, vol. 401(6749), pages 130-131, September.
    4. Richard J. Williams & Neo D. Martinez, 2000. "Simple rules yield complex food webs," Nature, Nature, vol. 404(6774), pages 180-183, March.
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    Cited by:

    1. Yang, Bo & He, He & Hu, Xiaoming, 2017. "Detecting community structure in networks via consensus dynamics and spatial transformation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 483(C), pages 156-170.
    2. Li, Wenlin & Li, Chong & Song, Heshan, 2016. "Realization of quantum information processing in quantum star network constituted by superconducting hybrid systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 463(C), pages 427-436.
    3. Yang, Bo & Li, Xu & Liu, Xiangwei & He, He & Chen, Wei, 2019. "Alternating between consensus and leader selection reveals community structure in networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 515(C), pages 693-706.

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