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Vital nodes identification is an essential problem in network science.Various methods have been proposed to solve this problem. In particular, basedon the gravity model, a series of improved gravity models are proposed to findvital nodes better in complex networks. However, they still have the room to beimproved. In this paper, a novel and improved gravity model, which is namednetwork efficiency gravity centrality model (NEG), integrates gravity model andnetwork efficiency is proposed. Compared to other methods based on differentgravity models, the proposed method considers the effect of the nodes onstructure robustness of the network better. To solidate the superiority of theproposed method, experiments on varieties of real-world networks are carriedout.

A modified gravity model based on network efficiency for vital nodes identification in complex networks