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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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    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.
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    Cited by:

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    3. 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).
    4. 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.
    5. 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.
    6. 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.
    7. 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.
    8. 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).
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    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).

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