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Effect of Weight Thresholding on the Robustness of Real-World Complex Networks to Central Node Attacks

Author

Listed:
  • Jisha Mariyam John

    (Indian Institute of Information Technology, Kottayam 686635, India)

  • Michele Bellingeri

    (Dipartimento di Scienze Matematiche, Fisiche e Informatiche, Università di Parma, 43124 Parma, Italy
    Gruppo Collegato di Parma, National Institute of Nuclear Physics (INFN), 43124 Parma, Italy)

  • Divya Sindhu Lekha

    (Indian Institute of Information Technology, Kottayam 686635, India)

  • Davide Cassi

    (Dipartimento di Scienze Matematiche, Fisiche e Informatiche, Università di Parma, 43124 Parma, Italy
    Gruppo Collegato di Parma, National Institute of Nuclear Physics (INFN), 43124 Parma, Italy)

  • Roberto Alfieri

    (Dipartimento di Scienze Matematiche, Fisiche e Informatiche, Università di Parma, 43124 Parma, Italy
    Gruppo Collegato di Parma, National Institute of Nuclear Physics (INFN), 43124 Parma, Italy)

Abstract

In this study, we investigate the effect of weight thresholding (WT) on the robustness of real-world complex networks. Here, we assess the robustness of networks after WT against various node attack strategies. We perform WT by removing a fixed fraction of weak links. The size of the largest connected component indicates the network’s robustness. We find that real-world networks subjected to WT hold a robust connectivity structure to node attack even for higher WT values. In addition, we analyze the change in the top 30% of central nodes with WT and find a positive correlation in the ranking of central nodes for weighted node centralities. Differently, binary node centralities show a lower correlation when networks are subjected to WT. This result indicates that weighted node centralities are more stable indicators of node importance in real-world networks subjected to link sparsification.

Suggested Citation

  • Jisha Mariyam John & Michele Bellingeri & Divya Sindhu Lekha & Davide Cassi & Roberto Alfieri, 2023. "Effect of Weight Thresholding on the Robustness of Real-World Complex Networks to Central Node Attacks," Mathematics, MDPI, vol. 11(16), pages 1-12, August.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:16:p:3482-:d:1215537
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    References listed on IDEAS

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