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Structural Balance under Weight Evolution of Dynamic Signed Network

Author

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  • Zhenpeng Li

    (School of Electronics and Information Engineering, Taizhou University, Taizhou 318000, China
    These authors contributed equally to this work.)

  • Ling Ma

    (School of Mathematics and Computer Science, Dali University, Dali 671000, China
    These authors contributed equally to this work.)

  • Simin Chi

    (School of Mathematics and Computer Science, Dali University, Dali 671000, China
    These authors contributed equally to this work.)

  • Xu Qian

    (School of Mathematics and Computer Science, Dali University, Dali 671000, China
    These authors contributed equally to this work.)

Abstract

The mutual feedback mechanism between system structure and system function is the ‘hot spot’ of a complex network. In this paper, we propose an opinions–edges co-evolution model on a weighted signed network. By incorporating different social factors, five evolutionary scenarios were simulated to investigate the feedback effects. The scenarios included the variations of edges and signed weights and the variations of the proportions of positive and negative opinions. The level of balance achieved depends on the connection weight and the distribution of negative edges/opinions on the signed graph. This paper sheds light on the analysis of constraints and opportunities of social and cognitive processes, helping us understand the real-world opinions polarization process in depth. For example, the results serve as a confirmation of the imperfect balance theory, i.e., even if the system evolves to a stable state, the signed network still cannot achieve perfect structural balance.

Suggested Citation

  • Zhenpeng Li & Ling Ma & Simin Chi & Xu Qian, 2022. "Structural Balance under Weight Evolution of Dynamic Signed Network," Mathematics, MDPI, vol. 10(9), pages 1-21, April.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:9:p:1441-:d:801420
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    References listed on IDEAS

    as
    1. Xiaolong Zheng & Daniel Zeng & Fei-Yue Wang, 2015. "Social balance in signed networks," Information Systems Frontiers, Springer, vol. 17(5), pages 1077-1095, October.
    2. 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.
    3. Steven H. Strogatz, 2001. "Exploring complex networks," Nature, Nature, vol. 410(6825), pages 268-276, March.
    4. Li, Lingbo & Fan, Ying & Zeng, An & Di, Zengru, 2019. "Binary opinion dynamics on signed networks based on Ising model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 525(C), pages 433-442.
    5. Xiaochen He & Haifeng Du & Meng Cai & Marcus W Feldman, 2018. "The evolution of cooperation in signed networks under the impact of structural balance," PLOS ONE, Public Library of Science, vol. 13(10), pages 1-18, October.
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    Cited by:

    1. Wen Zhang & Xiaofeng Xu & Jun Wu & Kaijian He, 2023. "Preface to the Special Issue on “Computational and Mathematical Methods in Information Science and Engineering”," Mathematics, MDPI, vol. 11(14), pages 1-4, July.

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