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Effect of edge removal on topological and functional robustness of complex networks

Author

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  • He, Shan
  • Li, Sheng
  • Ma, Hongru

Abstract

We study the robustness of several network models subject to edge removal. The robustness is measured by the statistics of network breakdowns, where a breakdown is defined as the destroying of the total connectedness of a network, rather than the disappearance of the giant component. We introduce a simple traffic dynamics as the function of a network topology, and the total connectedness can be destroyed in the sense of either the topology or the function. The overall effect of the topological breakdown and the functional breakdown, as well as the relative importance of the topological robustness and the functional robustness, are studied under two edge removal strategies.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:phsmap:v:388:y:2009:i:11:p:2243-2253
    DOI: 10.1016/j.physa.2009.02.007
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    Cited by:

    1. 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.
    2. Kashyap, G. & Ambika, G., 2019. "Link deletion in directed complex networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 514(C), pages 631-643.
    3. Yan, Xin & Li, Chunlin & Zhang, Ling & Hu, Yaogai, 2016. "A new method optimizing the subgraph centrality of large networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 444(C), pages 373-387.

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