增强地理网络的鲁棒性和免疫性
Enhancing Robustness and Immunization in geographical networks
摘要：
我们发现，不同的地理结构的网络导致不同的渗流阈值，虽然这些网络可能有相似的抽象拓扑结构。在此基础上，提出了增强地理网络鲁棒性和免疫性的策略。利用生成函数方法，我们得到了含有任意阶环的网络的逾渗阈值$q_{c}$的显式表达式。对于3-循环，确定了$q_c$对聚类系数的依赖性。分析证实了策略的有效性与分析证据。
英文摘要：
We find that different geographical structures of networks lead to varied percolation thresholds, although these networks may have similar abstract topological structures. Thus, the strategies for enhancing robustness and immunization of a geographical network are proposed. Using the generating function formalism, we obtain the explicit form of the percolation threshold $q_{c}$ for networks containing arbitrary order cycles. For 3-cycles, the dependence of $q_c$ on the clustering coefficients is ascertained. The analysis substantiates the validity of the strategies with an analytical evidence.
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