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Structural balance and dynamics over signed BA scale-free network

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  • Wu, Yue
  • Gao, Lanlin
  • Zhang, Yi
  • Xiong, Xi

Abstract

By exploring the influence between dynamics and structural balance, we divide a binary group(with two nodes and a directed edge) into three categories as balanced, intermediate and unbalanced structure. On this basis, a co-evolution model considering the dynamic mechanics of both opinions and relationships is designed. Global structural balance in four basic structures are explained. In the simulation experiments over signed BA scale-free network, the impact of negative relationships on polarizing opinion, the effect of intermediate state structure, and the influences of five strategies on relaxation time are analyzed. By introducing an unbalanced cycle, two kinds of interesting results are discussed.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:phsmap:v:525:y:2019:i:c:p:866-877
    DOI: 10.1016/j.physa.2019.04.038
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    References listed on IDEAS

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    1. 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.
    2. Sun, Yixiang & Du, Haifeng & Gong, Maoguo & Ma, Lijia & Wang, Shanfeng, 2014. "Fast computing global structural balance in signed networks based on memetic algorithm," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 415(C), pages 261-272.
    3. Li, Hui-Jia & Bu, Zhan & Li, Yulong & Zhang, Zhongyuan & Chu, Yanchang & Li, Guijun & Cao, Jie, 2018. "Evolving the attribute flow for dynamical clustering in signed networks," Chaos, Solitons & Fractals, Elsevier, vol. 110(C), pages 20-27.
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    Cited by:

    1. 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.

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