In complex networks

node importance identification plays an important role in analyzing the structure and function. In order to identify the node's importance and analyze the role of nodes themselves and associated nodes

we construct a node importance identification model based on importance transfer matrix. Firstly

the transmission capability between nodes is defined based on the optimal path length

the number of optimal paths and the information propagation rate between the associated nodes and the nodes. Secondly

the node degree and transmission capacity are used to construct the importance transmission matrix

and the local importance and global attribute index of the node are integrated to evaluate the importance of the node. Finally

destructive simulation analysis on the "ARPA" network and four real networks show that this method causes more damage to the network

which proves the method's effectiveness and reliability.