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M. E. J. Newman, “A Measure of Betweenness Centrality Based on Random Walks,” Social Networks, Vol. 27, No. 1, 2005, pp. 39-54. doi:10.1016/j.socnet.2004.11.009

has been cited by the following article:

• TITLE: An Energy-Based Centrality for Electrical Networks

  AUTHORS: Ruiyuan Kong, Congying Han, Tiande Guo, Wei Pei

  KEYWORDS: Centrality; Energy; Effective Resistance; Current-flow Betweenness

  JOURNAL NAME: Energy and Power Engineering, Vol.5 No.4B, October 30, 2013

  ABSTRACT: We present an energy-based method to estimate centrality in electrical networks. Here the energy between a pair of vertices denotes by the effective resistance between them. If there is only one generation and one load, then the centrality of an edge in our method is the difference between the energy of network after deleting the edge and that of the original network. Compared with the local current-flow betweenness on the IEEE 14-bus system, we have an interesting discovery that our proposed centrality is closely related to it in the sense of that the significance of edges under the two measures are very similar.