蓄意攻击下一类多社团网络级联抗毁性研究

为研究社团结构对网络级联抗毁性的影响,结合一类多社团复杂网络模型,采用节点介数定义负荷,故障节点负荷采用局部择优分配策略,研究了在蓄意攻击下多社团网络负荷分配指数、社团内部耦合强度、社团间耦合强度、社团模块度等参数与级联抗毁性的关系。仿真结果表明负荷分配指数与级联抗毁性负相关,社团内部耦合强度、社团间耦合强度、社团模块度与级联抗毁性正相关。对比了BA(Barabási-Albert)网络和WS(Watts-Strogatz)网络的抗毁性,结果表明社团结构的存在降低了网络的抗毁性,负荷分配越均匀网络抗毁性越强。

Research on cascading invulnerability of community structure networks under intentional-attack

In order to investigate the effects of community structure on cascading invulnerability, in the frame of a community structure network, the initial load of the node was defined by its betweenness, and the load on the broken node was redistributed to its neighboring nodes according to the preferential probability. When the node with the largest load being intentionally attacked in the network, the relation of load exponent, coupling-strength in a community, coupling-strength between communities, modularity function and the network's invulnerability were studied. The results show that the network's cascading invulnerability is positively related with coupling-strength in a community, coupling-strength between communities and modularity function, negatively related with load exponent. With comparison to BA (Barabási-Albert) scale-free network and WS (Watts-Strogatz) small-world networks, the result indicates that community structure lowers the network's cascading invulnerability, thus the more homogeneous betweenness distribution is, the stronger network's cascading invulnerability is.