Abstract: Nodes' importance is often concerned in many real world systems,such as economic systems with social relation structure and communication networks.After the requirements of an effective importance measurement for nodes in a network are analyzed,the comprehensive importance measure for nodes in a node-weighed network based on the approach of deleting nodes is modeled.And with the help of the procedure of calculating the distances among nodes on a graph,a new algorithm for this model is designed.Finally,an example is given for illustrating the application of the method in knowledge sharing network.

Key words: node-weighted network, comprehensive measurement, deleting nodes, importance, knowledge sharing network