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Robustness of weighted networks

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  • Bellingeri, Michele
  • Cassi, Davide

Abstract

Complex network response to node loss is a central question in different fields of network science because node failure can cause the fragmentation of the network, thus compromising the system functioning. Previous studies considered binary networks where the intensity (weight) of the links is not accounted for, i.e. a link is either present or absent. However, in real-world networks the weights of connections, and thus their importance for network functioning, can be widely different. Here, we analyzed the response of real-world and model networks to node loss accounting for link intensity and the weighted structure of the network. We used both classic binary node properties and network functioning measure, introduced a weighted rank for node importance (node strength), and used a measure for network functioning that accounts for the weight of the links (weighted efficiency).

Suggested Citation

  • Bellingeri, Michele & Cassi, Davide, 2018. "Robustness of weighted networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 489(C), pages 47-55.
    • Handle: RePEc:eee:phsmap:v:489:y:2018:i:c:p:47-55
    DOI: 10.1016/j.physa.2017.07.020
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    References listed on IDEAS

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    1. Crucitti, Paolo & Latora, Vito & Marchiori, Massimo & Rapisarda, Andrea, 2004. "Error and attack tolerance of complex networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 340(1), pages 388-394.
    2. 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.
    3. Lü, Linyuan & Zhou, Tao, 2011. "Link prediction in complex networks: A survey," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(6), pages 1150-1170.
    4. Barthélemy, Marc & Barrat, Alain & Pastor-Satorras, Romualdo & Vespignani, Alessandro, 2005. "Characterization and modeling of weighted networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 346(1), pages 34-43.
    5. Bellingeri, Michele & Cassi, Davide & Vincenzi, Simone, 2013. "Increasing the extinction risk of highly connected species causes a sharp robust-to-fragile transition in empirical food webs," Ecological Modelling, Elsevier, vol. 251(C), pages 1-8.
    6. 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.
    7. Wei, Daijun & Deng, Xinyang & Zhang, Xiaoge & Deng, Yong & Mahadevan, Sankaran, 2013. "Identifying influential nodes in weighted networks based on evidence theory," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(10), pages 2564-2575.
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    Cited by:

    1. Jisha Mariyam John & Michele Bellingeri & Divya Sindhu Lekha & Davide Cassi & Roberto Alfieri, 2024. "Robustness of Real-World Networks after Weight Thresholding with Strong Link Removal," Mathematics, MDPI, vol. 12(10), pages 1-17, May.
    2. Stefano Martinazzi & Andrea Flori, 2020. "The evolving topology of the Lightning Network: Centralization, efficiency, robustness, synchronization, and anonymity," PLOS ONE, Public Library of Science, vol. 15(1), pages 1-18, January.
    3. Moore, Jack Murdoch & Small, Michael & Yan, Gang, 2021. "Inclusivity enhances robustness and efficiency of social networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 563(C).
    4. P.B., Divya & Lekha, Divya Sindhu & Johnson, T.P. & Balakrishnan, Kannan, 2022. "Vulnerability of link-weighted complex networks in central attacks and fallback strategy," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 590(C).
    5. Bellingeri, M. & Bevacqua, D. & Scotognella, F. & LU, Zhe-Ming & Cassi, D., 2018. "Efficacy of local attack strategies on the Beijing road complex weighted network," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 510(C), pages 316-328.
    6. 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.
    7. 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).
    8. Yang, Yu & He, Ze & Song, Zouying & Fu, Xin & Wang, Jianwei, 2018. "Investigation on structural and spatial characteristics of taxi trip trajectory network in Xi’an, China," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 506(C), pages 755-766.
    9. Zhao, Peixin & Yin, Shengnan & Han, Xue & Li, Zhuyue, 2021. "Research on lean supply chain network model based on node removal," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 567(C).
    10. Nie, Tingyuan & Fan, Bo & Wang, Zhenhao, 2022. "Complexity and robustness of weighted circuit network of placement," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 598(C).
    11. Xia Cao & Chuanyun Li & Wei Chen & Jinqiu Li & Chaoran Lin, 2020. "Research on the invulnerability and optimization of the technical cooperation innovation network based on the patent perspective—A case study of new energy vehicles," PLOS ONE, Public Library of Science, vol. 15(9), pages 1-19, September.

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