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Optimized Scale-Free Networks Against Cascading Failures

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  • JIANWEI WANG

    (School of Business Administration, Northeastern University, Shenyang 110819, P. R. China)

Abstract

According to the dynamical characteristics of the local redistribution of the load on a removal node, by the reconnection of the neighboring edge of the most vulnerable node, we propose an effective method to improve the network robustness against cascading failures. Under two constraints, i.e. keeping the degree of each node unchanged and fixing the total protective cost of a network, we investigate the efficiency of the swap method on scale-free networks and analyze the correlation between the optimized network and the Pearson correlation coefficient. We numerically show that effective swapping of the small part of connections can dramatically improve the network robust level against cascading failures and find that the optimized networks obtained by the swap method exhibit an extremely disassortative degree–degree correlation, that is, the disassortativity decreases the robustness of the optimized network against cascading failures. While the extent of the disassortative mixing is decided by the parameters in the cascading model. In addition, we also compare the average path length and the diameter of the optimized and the original networks.

Suggested Citation

  • Jianwei Wang, 2012. "Optimized Scale-Free Networks Against Cascading Failures," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 23(11), pages 1-12.
    • Handle: RePEc:wsi:ijmpcx:v:23:y:2012:i:11:n:s0129183112500751
    DOI: 10.1142/S0129183112500751
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    Cited by:

    1. Wang, Jianwei & Sun, Enhui & Xu, Bo & Li, Peng & Ni, Chengzhang, 2016. "Abnormal cascading failure spreading on complex networks," Chaos, Solitons & Fractals, Elsevier, vol. 91(C), pages 695-701.
    2. Wang, Jianwei & Cai, Lin & Xu, Bo & Li, Peng & Sun, Enhui & Zhu, Zhiguo, 2016. "Out of control: Fluctuation of cascading dynamics in networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 462(C), pages 1231-1243.

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