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Community detection in networks by using multiobjective evolutionary algorithm with decomposition

Author

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  • Gong, Maoguo
  • Ma, Lijia
  • Zhang, Qingfu
  • Jiao, Licheng

Abstract

Community structure is an important property of complex networks. Most optimization-based community detection algorithms employ single optimization criteria. In this study, the community detection is solved as a multiobjective optimization problem by using the multiobjective evolutionary algorithm based on decomposition. The proposed algorithm maximizes the density of internal degrees, and minimizes the density of external degrees simultaneously. It can produce a set of solutions which can represent various divisions to the networks at different hierarchical levels. The number of communities is automatically determined by the non-dominated individuals resulting from our algorithm. Experiments on both synthetic and real-world network datasets verify that our algorithm is highly efficient at discovering quality community structure.

Suggested Citation

  • Gong, Maoguo & Ma, Lijia & Zhang, Qingfu & Jiao, Licheng, 2012. "Community detection in networks by using multiobjective evolutionary algorithm with decomposition," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(15), pages 4050-4060.
    • Handle: RePEc:eee:phsmap:v:391:y:2012:i:15:p:4050-4060
    DOI: 10.1016/j.physa.2012.03.021
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    References listed on IDEAS

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    1. Pan, Ying & Li, De-Hua & Liu, Jian-Guo & Liang, Jing-Zhang, 2010. "Detecting community structure in complex networks via node similarity," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(14), pages 2849-2857.
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    Cited by:

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    2. Shang, Ronghua & Luo, Shuang & Zhang, Weitong & Stolkin, Rustam & Jiao, Licheng, 2016. "A multiobjective evolutionary algorithm to find community structures based on affinity propagation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 453(C), pages 203-227.
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    5. Zou, Feng & Chen, Debao & Huang, De-Shuang & Lu, Renquan & Wang, Xude, 2019. "Inverse modelling-based multi-objective evolutionary algorithm with decomposition for community detection in complex networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 513(C), pages 662-674.
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    9. Ebrahimi, Morteza & Shahmoradi, Mohammad Reza & Heshmati, Zainabolhoda & Salehi, Mostafa, 2018. "A novel method for overlapping community detection using Multi-objective optimization," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 505(C), pages 825-835.
    10. Lin Yu & Xiaodan Guo & Dongdong Zhou & Jie Zhang, 2024. "A Multi-Objective Pigeon-Inspired Optimization Algorithm for Community Detection in Complex Networks," Mathematics, MDPI, vol. 12(10), pages 1-20, May.
    11. Fu, Yu-Hsiang & Huang, Chung-Yuan & Sun, Chuen-Tsai, 2016. "Using a two-phase evolutionary framework to select multiple network spreaders based on community structure," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 461(C), pages 840-853.
    12. Moradi, Mehdi & Parsa, Saeed, 2019. "An evolutionary method for community detection using a novel local search strategy," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 523(C), pages 457-475.
    13. Manuel Guerrero & Consolación Gil & Francisco G. Montoya & Alfredo Alcayde & Raúl Baños, 2020. "Multi-Objective Evolutionary Algorithms to Find Community Structures in Large Networks," Mathematics, MDPI, vol. 8(11), pages 1-18, November.
    14. Li, Zhangtao & Liu, Jing, 2016. "A multi-agent genetic algorithm for community detection in complex networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 449(C), pages 336-347.
    15. Xiao, Jing & Zhang, Yong-Jian & Xu, Xiao-Ke, 2018. "Convergence improvement of differential evolution for community detection in complex networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 503(C), pages 762-779.
    16. Wenxin Zhu & Huan Li & Wenhong Wei, 2023. "A Two-Stage Multi-Objective Evolutionary Algorithm for Community Detection in Complex Networks," Mathematics, MDPI, vol. 11(12), pages 1-13, June.
    17. Li, Jun-fang & Zhang, Bu-han & Liu, Yi-fang & Wang, Kui & Wu, Xiao-shan, 2012. "Spatial evolution character of multi-objective evolutionary algorithm based on self-organized criticality theory," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(22), pages 5490-5499.
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