%0 Journal Article
%T Cascading Failures of Complex Networks Based on Two-Step Degree<br>
%A WU Zhi-Hai
%A FANG Hua-Jing
%A <br>
%J 中国物理快报
%D 2008
%I 
%X 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.
%K 89
%K 75
%K Hc
%K 89
%K 75
%K Fb<br>
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=47EA7CFDDEBB28E0&jid=E27DA92E19FE279A273627875A70D74D&aid=84A68EA631BE5346C7C7A97AD3C92C3E&yid=67289AFF6305E306&vid=C5154311167311FE&iid=F3090AE9B60B7ED1&sid=77056AE97DF6A494&eid=DA350D9A21881BCE&journal_id=0256-307X&journal_name=中国物理快报&referenced_num=0&reference_num=0