Login The Centiserver on OMICTools 
CurrentFlow Betweenness CentralityDefinition
The currentflow betweenness of a vertex v is defined as the amount of current that flows through v in this setup, averaged over all vertex pairs s and t. The currentflow betweenness of a vertex v is the average of the current flow over all source–target pairs:
where n(n − 1)/2 is a normalizing constant, and I_{v}^{(st)} is the current flow through node v between source s and sink t. Thus, currentflow betweenness measures the fraction of current flow passing through vertex v between all possible vertex pairs in the network. A simple random walk from s to t is a walk traveling from source s to target t by taking random intermediate vertices. Currentflow betweenness is shown to be the same as randomwalk betweenness [BRANDES, U. 2005, NEWMAN, M. E. 2005].
See also: RandomWalk Betweenness Centrality Alpha CurrentFlow Betweenness Centrality Truncated Alpha CurrentFlow Betweenness Centrality Beta CurrentFlow Betweenness Centrality Distributed CurrentFlow Betweenness Centrality Edge CurrentFlow Betweenness Centrality With Apache Spark Bertolucci, M., Lulli, A. and Ricci, L., 2016. Current Flow Betweenness Centrality with Apache Spark. In Algorithms and Architectures for Parallel Processing (pp. 270278). Springer International Publishing. SoftwareReferences
