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Detecting multiple key players under the positive effect by using a distance-based connectivity approach

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  • Jiang, Cheng
  • Liu, Zhonghua

Abstract

Key players problems aim to detect multiple players that optimize certain metrics on the network structure and function from two aspects, i.e., the negative effect and positive effect. However, most existing researches focus on modeling for the former, and how to model for the latter needs further exploration. In this paper, we first propose an integer linear programming model with distance-based connectivity for the positive effect. Then, to solve the proposed model, we design a novel heuristic algorithm by combining with local search enforcement in a greedy framework. Finally, we conduct many synthetic and real-world networks to validate the effectiveness and efficiency of the proposed approach. The experimental results show that the proposed approach achieves superior performance on detecting multiple key players, compared with some traditional methods.

Suggested Citation

  • Jiang, Cheng & Liu, Zhonghua, 2019. "Detecting multiple key players under the positive effect by using a distance-based connectivity approach," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 534(C).
    • Handle: RePEc:eee:phsmap:v:534:y:2019:i:c:s0378437119313408
    DOI: 10.1016/j.physa.2019.122322
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    References listed on IDEAS

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    1. Jiang, Cheng & Liu, Zhonghua & Wang, Juyun & Yu, Hua & Guo, Xiaoling, 2017. "An optimal approach for the critical node problem using semidefinite programming," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 471(C), pages 315-324.
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    4. Bernardetta Addis & Roberto Aringhieri & Andrea Grosso & Pierre Hosteins, 2016. "Hybrid constructive heuristics for the critical node problem," Annals of Operations Research, Springer, vol. 238(1), pages 637-649, March.
    5. Hu, Jiantao & Du, Yuxian & Mo, Hongming & Wei, Daijun & Deng, Yong, 2016. "A modified weighted TOPSIS to identify influential nodes in complex networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 444(C), pages 73-85.
    6. Bernardetta Addis & Roberto Aringhieri & Andrea Grosso & Pierre Hosteins, 2016. "Hybrid constructive heuristics for the critical node problem," Annals of Operations Research, Springer, vol. 238(1), pages 637-649, March.
    7. Faramondi, Luca & Setola, Roberto & Panzieri, Stefano & Pascucci, Federica & Oliva, Gabriele, 2018. "Finding critical nodes in infrastructure networks," International Journal of Critical Infrastructure Protection, Elsevier, vol. 20(C), pages 3-15.
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