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Overlapping communities detection through weighted graph community games

Author

Listed:
  • Stefano Benati
  • Justo Puerto
  • Antonio M Rodríguez-Chía
  • Francisco Temprano

Abstract

We propose a new model to detect the overlapping communities of a network that is based on cooperative games and mathematical programming. More specifically, communities are defined as stable coalitions of a weighted graph community game and they are revealed as the optimal solution of a mixed-integer linear programming problem. Exact optimal solutions are obtained for small and medium sized instances and it is shown that they provide useful information about the network structure, improving on previous contributions. Next, a heuristic algorithm is developed to solve the largest instances and used to compare two variations of the objective function.

Suggested Citation

  • Stefano Benati & Justo Puerto & Antonio M Rodríguez-Chía & Francisco Temprano, 2023. "Overlapping communities detection through weighted graph community games," PLOS ONE, Public Library of Science, vol. 18(4), pages 1-35, April.
    • Handle: RePEc:plo:pone00:0283857
    DOI: 10.1371/journal.pone.0283857
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    References listed on IDEAS

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    5. Zhang, Shihua & Wang, Rui-Sheng & Zhang, Xiang-Sun, 2007. "Identification of overlapping community structure in complex networks using fuzzy c-means clustering," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 374(1), pages 483-490.
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    Cited by:

    1. Benati, Stefano & Puerto, Justo & Temprano, Francisco, 2026. "Modularity for hypergraph clustering: Methodologies and applications," Omega, Elsevier, vol. 138(C).
    2. Ailian Wang & Mingwu Li & Xuyang Gao & Bolin Li & Zhiqiang Su, 2025. "Overlapping community detection based on bridging structural features and fuzzy C-means," PLOS ONE, Public Library of Science, vol. 20(8), pages 1-20, August.

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