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Structural balance of multiplex signed networks: A distributed data-driven approach

Author

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  • Pan, Lulu
  • Shao, Haibin
  • Mesbahi, Mehran
  • Li, Dewei
  • Xi, Yugeng

Abstract

This paper examines the data-driven verification of structural balance of multiplex networks by utilizing the dataset generated by the bipartite consensus dynamics adopted by each node in the network. To this end, some necessary and sufficient conditions for the structural balance of multiplex signed networks from a graph-theoretic perspective have been provided. It is also shown that a multiplex signed network is structurally balanced if and only if its related compressed network is structurally balanced. Built on the proposed theoretical results and dynamic mode decomposition technique, a distributed data-driven approach is proposed for verification of the structural balance of large-scale multiplex signed networks without relying on the explicit knowledge on network topology.

Suggested Citation

  • Pan, Lulu & Shao, Haibin & Mesbahi, Mehran & Li, Dewei & Xi, Yugeng, 2018. "Structural balance of multiplex signed networks: A distributed data-driven approach," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 508(C), pages 748-756.
    • Handle: RePEc:eee:phsmap:v:508:y:2018:i:c:p:748-756
    DOI: 10.1016/j.physa.2018.05.101
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    Cited by:

    1. Wu, Yue & Gao, Lanlin & Zhang, Yi & Xiong, Xi, 2019. "Structural balance and dynamics over signed BA scale-free network," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 525(C), pages 866-877.

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