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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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    1. He, Shan & Li, Sheng & Ma, Hongru, 2009. "Effect of edge removal on topological and functional robustness of complex networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(11), pages 2243-2253.
    2. A. Garas & P. Argyrakis & S. Havlin, 2008. "The structural role of weak and strong links in a financial market network," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 63(2), pages 265-271, May.
    3. Antonios Garas & Panos Argyrakis & Shlomo Havlin, 2008. "The structural role of weak and strong links in a financial market network," Papers 0805.2477, arXiv.org.
    4. Li, Chao & Wang, Li & Sun, Shiwen & Xia, Chengyi, 2018. "Identification of influential spreaders based on classified neighbors in real-world complex networks," Applied Mathematics and Computation, Elsevier, vol. 320(C), pages 512-523.
    5. Opitz, S., 1996. "Trophic interactions in Caribbean coral reefs," Monographs, The WorldFish Center, number 11440, April.
    6. Lekha, Divya Sindhu & Balakrishnan, Kannan, 2020. "Central attacks in complex networks: A revisit with new fallback strategy," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 549(C).
    7. Nie, Tingyuan & Guo, Zheng & Zhao, Kun & Lu, Zhe-Ming, 2016. "The dynamic correlation between degree and betweenness of complex network under attack," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 457(C), pages 129-137.
    8. Bellingeri, Michele & Cassi, Davide & Vincenzi, Simone, 2014. "Efficiency of attack strategies on complex model and real-world networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 414(C), pages 174-180.
    9. Quang Nguyen & Ngoc-Kim-Khanh Nguyen & Davide Cassi & Michele Bellingeri & Giacomo Fiumara, 2021. "New Betweenness Centrality Node Attack Strategies for Real-World Complex Weighted Networks," Complexity, Hindawi, vol. 2021, pages 1-17, October.
    10. Nie, Tingyuan & Guo, Zheng & Zhao, Kun & Lu, Zhe-Ming, 2015. "New attack strategies for complex networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 424(C), pages 248-253.
    11. Crucitti, Paolo & Latora, Vito & Marchiori, Massimo & Rapisarda, Andrea, 2003. "Efficiency of scale-free networks: error and attack tolerance," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 320(C), pages 622-642.
    12. Liu, Meili & Qi, Xiaogang & Pan, Hao, 2022. "Optimizing communication network geodiversity for disaster resilience through shielding approach," Reliability Engineering and System Safety, Elsevier, vol. 228(C).
    13. Réka Albert & Hawoong Jeong & Albert-László Barabási, 2000. "Error and attack tolerance of complex networks," Nature, Nature, vol. 406(6794), pages 378-382, July.
    14. Stefano Allesina & Mercedes Pascual, 2009. "Googling Food Webs: Can an Eigenvector Measure Species' Importance for Coextinctions?," PLOS Computational Biology, Public Library of Science, vol. 5(9), pages 1-6, September.
    15. Bellingeri, Michele & Cassi, Davide, 2018. "Robustness of weighted networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 489(C), pages 47-55.
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