The Robustness of Multilayer Network under Targeted Attack

Network representation is useful for describing the structure of various complex systems. However, most real and engineering systems have multiple subsystems and connectivity layers that generate very rich data. In this paper, we study the multilayer network with two layers under targeted attack. We set two layer networks are both with poisson degree distribution and power law degree distribution. For ER networks, we fist set two layer network has same average degree < k >, and study the relationship with the giant component and average degree. Then we keep the average degree of one layer network, and change another average degree to get the function of robustness and the average of one layer. It can been find that is positive related to the robustness of overall network with poisson degree distribution. For scale-free network, we do the same treatment as above. In addition, we also study the relationship with power law index lambda and the robustness. We can find that the average degree and power law index are both positively correlated with robustness of entire system which each layer are scale- free network.