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Robustness of heterogeneous complex networks

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  • Santiago, A.
  • Benito, R.M.

Abstract

In this paper we study the robustness of heterogeneous preferential attachment networks. The robustness of a network measures its structural tolerance to the random removal of nodes and links. We numerically analyze the influence of the affinity parameters on a set of ensemble-averaged robustness metrics. We show that the presence of heterogeneity does not fundamentally alter the smooth nature of the fragmentation process of the models. We also show that a moderate level of locality translates into slight improvements in the robustness metrics, which prompts us to conjecture an evolutionary argument for the existence of real networks with power-law scaling in their connectivity and clustering distributions.

Suggested Citation

  • Santiago, A. & Benito, R.M., 2009. "Robustness of heterogeneous complex networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(11), pages 2234-2242.
    • Handle: RePEc:eee:phsmap:v:388:y:2009:i:11:p:2234-2242
    DOI: 10.1016/j.physa.2009.02.016
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    References listed on IDEAS

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    1. A. Santiago & R. M. Benito, 2007. "Emergence Of Multiscaling In Heterogeneous Complex Networks," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 18(10), pages 1591-1607.
    2. Réka Albert & Hawoong Jeong & Albert-László Barabási, 2000. "Error and attack tolerance of complex networks," Nature, Nature, vol. 406(6794), pages 378-382, July.
    3. Steven H. Strogatz, 2001. "Exploring complex networks," Nature, Nature, vol. 410(6825), pages 268-276, March.
    4. Barabási, Albert-László & Albert, Réka & Jeong, Hawoong, 1999. "Mean-field theory for scale-free random networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 272(1), pages 173-187.
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    Cited by:

    1. Wen, Xiangxi & Tu, Congliang & Wu, Minggong, 2018. "Node importance evaluation in aviation network based on “No Return” node deletion method," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 503(C), pages 546-559.
    2. Cárdenas, J.P. & Mouronte, M.L. & Moyano, L.G. & Vargas, M.L. & Benito, R.M., 2010. "On the robustness of Spanish telecommunication networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(19), pages 4209-4216.
    3. Shudong Li & Zhongtian Jia & Aiping Li & Lixiang Li & Xinran Liu & Yixian Yang, 2013. "Cascading Dynamics of Heterogenous Scale‐Free Networks with Recovery Mechanism," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
    4. Vodák, Rostislav & Bíl, Michal & Sedoník, Jiří, 2015. "Network robustness and random processes," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 428(C), pages 368-382.
    5. 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.

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