节点中心性是复杂网络研究的关键问题之一.我们从电阻网络出发,基于基尔霍夫电流定律,定义了一种新的中心性指标KL(G),该指标由通过节点的电流和基于度的电流方差构成.这个指标在网络流的基础上考虑了网络的全局信息和节点所处位置的局部信息.我们将指标应用于实际网络中,发现其可以识别出对于社团结构来说重要的节点,结合辅助指标w还可以区分社团重叠节点和桥节点.
The centrality of vertices has been a key issue in network analysis. We defined a new centrality index based on resistor network and Kirchhoff's law, which was composed of current flow and variance. Theindex contains global information and local information by using network flow theory. It can be used to identify key nodes in empirical network and differentiate "overlapping nodes" from "bridge nodes" combining with windex.