基于节点蓄意攻击的无标度网络#br# 级联抗毁性研究

增强网络的抗毁性对于抵御级联故障具有重要的现实意义。为研究网络参数对级联抗毁性的影响，结合变幂律无标度网络和变聚类系数无标度网络模型，在最大负荷节点遭受蓄意攻击的情况下，研究了无标度网络的幂律指数、聚类系数和平均度与级联抗毁性的关系。结果表明，无标度网络的幂律指数和平均度与网络的级联抗毁性正相关，即网络越均匀、连接越稠密，级联抗毁性越强；但聚类系数对网络的级联抗毁性并没有显著影响。

Research on cascading invulnerability of scale free networks under node based attack

It is of great realistic meaning to resist cascading failures by increasing the invulnerability of a network. In order to investigate the effects of the network’s parameters on cascading invulnerability, with the frame of a power law alterable scale free (SF) network model and a clustering coefficient alterable network model, when the nodes with the largest loads are intentionally attacked, the relation between SF network’s power law parameter, clustering coefficient and average degree and the network’s invulnerability is researched. The results show that the network’s cascading invulnerability is positively related with the power law exponent and the average degree, that is, the more homogenous a network and the denser a network is， the stronger the network’s cascading invulnerability becomes. While obvious relations are not found between the clustering coefficient and the network’s invulnerability based on the cascading failure model.