comprehensive centrality resource and server for centralities calculation version: 1.0.0


The Centiserver on OMICTools


Current-Flow Closeness Centrality


The closeness index based on shortest paths can also be transformed to a measure based on electrical current. For the electrical current model set forth in [BRANDES, U. 2005], Brandes et al. developed an alternative measure of the distance between two vertices s and t, which is defined as the difference of their electrical potentials. Current-flow closeness centrality is defined by
Current-Flow Closeness Centrality
where (n−1) is a normalizing factor, pst(s) is the absolute electrical potential of vertex s based on the electrical current supply from vertex s to vertex t, and pst(s) − pst(t) corresponds to the effective resistance typically measured as voltage, which can be interpreted as an alternative measure of distance between s and t.

Brandes and Fleischer showed that current-flow closeness centrality is equivalent to information centrality [BRANDES, U. 2005].

See Information Centrality


Require undirected, connected and loop free network.


  • BRANDES, U. & FLEISCHER, D. 2005. Centrality measures based on current flow, Springer.


There are no comment yet.

Add your comment

Sum of    and  
persianstat(10215502, 0);