Abstract
Critical nodes in temporal networks play more significant role than other nodes on the structure and function of networks. The research on identifying critical nodes in temporal networks has attracted much attention since the real-world systems can be illustrated more accurately by temporal networks than static networks. Considering the topological information of networks, the algorithm MLI based on network embedding and machine learning are proposed in this paper. we convert the critical node identification problem in temporal networks into regression problem by the algorithm. The effectiveness of proposed methods is evaluated by SIR model and compared with well-known existing metrics such as temporal versions of betweenness, closeness, k-shell, degree deviation and dynamics-sensitive centralities in one synthetic and five real temporal networks. Experimental results show that the proposed method outperform these well-known methods in identifying critical nodes under spreading dynamic.
Highlights
Critical nodes in temporal networks play more significant role than other nodes on the structure and function of networks
Liu et al.[22] proposed dynamic-sensitive centrality to measure the importance of nodes in static networks and temporal dynamic-sensitive c entrality[23] has advantage over the method proposed by Liu et al, which based on Markov chain for the epidemic model and derive the analytical result of node influence
The performance of MLI is evaluated by SIR spreading model, and compared with well-known existing metrics such as temporal versions of betweenness centrality, closeness centrality, k-shell, degree deviation centrality and dynamics-sensitive centrality in one synthetic and five real temporal networks
Summary
Critical nodes in temporal networks play more significant role than other nodes on the structure and function of networks. The effectiveness of proposed methods is evaluated by SIR model and compared with well-known existing metrics such as temporal versions of betweenness, closeness, k-shell, degree deviation and dynamicssensitive centralities in one synthetic and five real temporal networks. The performance of proposed method is compared with that of temporal versions of betweenness centrality, closeness centrality[37], k-shell[38], degree deviation centrality[39] and dynamics-sensitive centrality[23] in SIR model[40,41] for one synthetic and five real temporal networks. The results show that the proposed method in this paper can effectively identify critical nodes which have greater impacts on information spreading in temporal networks
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