Cascading Failures of Complex Networks Based on Two-Step Degree |
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| Authors: | WU Zhi-Hai FANG Hua-Jing |
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| Affiliation: | Department of Control Science and Engineering, Huazhong University of Science and Technology, Wuhan 430074 |
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| Abstract: | We propose a new concept, two-step degree. Defining it as the capacity of a node of complex networks, we establish a novel capacity--load model of cascading failures of complex networks where the capacity of nodes decreases during the process of cascading failures. For scale-free networks, we find that the average two-step degree increases with the increase of the heterogeneity of the degree distribution, showing that the average two-step degree can be used for measuring the heterogeneity of the degree distribution of complex networks. In addition, under the condition that the average degree of a node is given, we can design a scale-free network with the optimal robustness to random failures by maximizing the average two-step degree. |
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| Keywords: | 89 75 Hc 89 75 Fb |
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