A New Measure of Node Importance in Complex Networks with Tunable Parameters

How to measure node importance or find out the important node in the network has been a fundamental issue. However, since most of the existing centrality measures only take one criterion into account, they couldn´t capture the specific differences among nodes and isn´t in accordance with the actual circumstances. Hence, in this paper, we propose a new measure of node importance in complex networks with tunable parameters. This centrality method has been tested in the sexy relation network of the AIDS. Compared to other several centrality measures, our presented measure is more discriminative than degree, betweenness, and closeness centrality for the nodes of a network.