摘要To study the robustness of complex networks under attack and repair, we introduce a repair model of complex networks. Based on the model, we introduce two new quantities, i.e. attack fraction fa and the maximum degree of the nodes that have never been attacked ~Ka, to study analytically the critical attack fraction and the relative size of the giant component of complex networks under attack and repair, using the method of generating function. We show analytically and numerically that the repair strategy significantly enhances the robustness of the scale-free network and the effect of robustness improvement is better for the scale-free networks with a smaller degree exponent. We discuss the application of our theory in relation to the understanding of robustness of complex networks with reparability.
Abstract：To study the robustness of complex networks under attack and repair, we introduce a repair model of complex networks. Based on the model, we introduce two new quantities, i.e. attack fraction fa and the maximum degree of the nodes that have never been attacked ~Ka, to study analytically the critical attack fraction and the relative size of the giant component of complex networks under attack and repair, using the method of generating function. We show analytically and numerically that the repair strategy significantly enhances the robustness of the scale-free network and the effect of robustness improvement is better for the scale-free networks with a smaller degree exponent. We discuss the application of our theory in relation to the understanding of robustness of complex networks with reparability.
HU Bin;LI Fang;ZHOU Hou-Shun. Robustness of Complex Networks under Attack and Repair[J]. 中国物理快报, 2009, 26(12): 128901-128901.
HU Bin, LI Fang, ZHOU Hou-Shun. Robustness of Complex Networks under Attack and Repair. Chin. Phys. Lett., 2009, 26(12): 128901-128901.
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