Research On Robustness And Repair Of Temporal Network

Many important results have been achieved in the application of complex network the-ory in information network,social,economic management,physics and other fields.However,previous studies have often ignored the time nature of complex system,and time plays a key role in many real-world networks.At the same time,the robustness and reparability of complex networks have also been widely concerned.They are crucial for complex net-works to detect structural damage,protect networks from failures,quickly restore func-tions and design applications.The research of this paper is mainly based on the SIR model of temporal network.We select nodes as source of infection by selecting nodes from the temporal network con-structed from real data,and destroy the temporal network,including error and attack.In this simulation,we mainly evaluate and discuss the temporal network by means of infection ability of the node and temporal robustness.The results show that,compared with infec-tion ability of the node,temporal robustness can well distinguish the difference between error and attack.And we find that not all networks are vulnerable to attacks.More interest-ingly,by analyzing the static degree distribution and temporal degree distribution of the networks,it is found that temporal degree distribution can better reflect the topology of temporal network.We also analyze the simulation results of new temporal networks under several null models.The results not only highlight the importance of time attributes in eval-uating robustness,but also show that time characteristics have an important influence on temporal efficiency of the networks.Compared with the robustness of complex network,the problem of the repair of temporal network has not been paid more attention in previ-ous works,especially in the aspect of temporal network model.In the fifth part of the paper,we give a repair mechanism of temporal network.By analyzing and discussing the repair effect of temporal network under different repair probability,the result presents that the repair probability has a great effect on the repair effect,especially the timing efficiency.In the repair process of temporal network,a maximum value will appear quickly,and under different repair probability,the difference of the maximum value is not significant.