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Optimizing transformations of structural balance in signed networks with potential relationships

Author

Listed:
  • Du, Haifeng
  • He, Xiaochen
  • Wang, Shanfeng
  • Gong, Maoguo
  • Feldman, Marcus W.

Abstract

A signed network includes positive edges, negative edges and “0” edges, the last of which denote potential relationships. However, “0” edges are commonly ignored in transformations of unbalanced networks. In this paper, we take “0” edges into account and solve the optimization problem in a more comprehensive way. We transform the unbalanced network by not only changing signs of edges but also changing edges into potential. The experimental results show that our method can solve this problem efficiently, and that our solutions are cost-saving.

Suggested Citation

  • Du, Haifeng & He, Xiaochen & Wang, Shanfeng & Gong, Maoguo & Feldman, Marcus W., 2017. "Optimizing transformations of structural balance in signed networks with potential relationships," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 465(C), pages 414-424.
    • Handle: RePEc:eee:phsmap:v:465:y:2017:i:c:p:414-424
    DOI: 10.1016/j.physa.2016.08.027
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    References listed on IDEAS

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    1. repec:cup:cbooks:9780511771576 is not listed on IDEAS
    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. Easley,David & Kleinberg,Jon, 2010. "Networks, Crowds, and Markets," Cambridge Books, Cambridge University Press, number 9780521195331.
    4. Figueiredo, Rosa & Frota, Yuri, 2014. "The maximum balanced subgraph of a signed graph: Applications and solution approaches," European Journal of Operational Research, Elsevier, vol. 236(2), pages 473-487.
    5. Michael Brusco & Douglas Steinley, 2011. "A Tabu-Search Heuristic for Deterministic Two-Mode Blockmodeling of Binary Network Matrices," Psychometrika, Springer;The Psychometric Society, vol. 76(4), pages 612-633, October.
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    Cited by:

    1. Lin, Geng & Guan, Jian & Feng, Huibin, 2018. "An ILP based memetic algorithm for finding minimum positive influence dominating sets in social networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 500(C), pages 199-209.
    2. Sheykhali, Somaye & Darooneh, Amir Hossein & Jafari, Gholam Reza, 2020. "Partial balance in social networks with stubborn links," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 548(C).
    3. Du, Haifeng & He, Xiaochen & Wang, Jingjing & Feldman, Marcus W., 2018. "Reversing structural balance in signed networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 503(C), pages 780-792.
    4. Song, Shenpeng & Feng, Yuhao & Xu, Wenzhe & Li, Hui-Jia & Wang, Zhen, 2022. "Evolutionary prisoner’s dilemma game on signed networks based on structural balance theory," Chaos, Solitons & Fractals, Elsevier, vol. 164(C).

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