Abstract
The unweighted networks only reflect the connection type between nodes and the network topology characteristics, by contrast, the weighted networks could describe the strength of interaction between nodes. For this reason, the weighted networks will give a better understanding of the characteristics of real-world networks and the complicated features of complex systems. The evaluation of node importance is a very meaningful research in weighted complex networks. This paper analyze the characteristics of weighted complex network and consider the effects of edge weights for the evaluation of node importance, introduces the idea of data field in theoretical physics and establishes the evaluation model of node importance in weighted complex network. Through the theoretical and experimental analysis, it is proved that this method can evaluate the importance of node in weighted complex network in a fast and accurate way, which is significant both to theory and practice.
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