  Vital nodes identification is an essential problem in network science.
Various methods have been proposed to solve this problem. In particular, based
on the gravity model, a series of improved gravity models are proposed to find
vital nodes better in complex networks. However, they still have the room to be
improved. In this paper, a novel and improved gravity model, which is named
network efficiency gravity centrality model (NEG), integrates gravity model and
network efficiency is proposed. Compared to other methods based on different
gravity models, the proposed method considers the effect of the nodes on
structure robustness of the network better. To solidate the superiority of the
proposed method, experiments on varieties of real-world networks are carried
out.
