Evaluation method for node importance based on attraction between nodes

Vital node, which has some special functions, plays an important role compared to other nodes in complex networks. Recently, the discovery of vital nodes in complex networks has captured increasing attention due to their important theoretical significance and great practicability. By defining the confidence of the node and the inter-node attraction, the significance of the node is measured by the product of the confidence of the node and the aggregation of attractions of the node on other nodes in the network. The experimental results illustrate that the proposed method has higher precision and performs well on various networks with different structures.