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current_flow_closeness_centrality(G, weight='weight', dtype=<type 'float'>, solver='lu')[source]

Compute current-flow closeness centrality for nodes.

Current-flow closeness centrality is variant of closeness centrality based on effective resistance between nodes in a network. This metric is also known as information centrality.

  • G (graph) – A NetworkX graph
  • dtype (data type (float)) – Default data type for internal matrices. Set to np.float32 for lower memory consumption.
  • solver (string (default='lu')) – Type of linear solver to use for computing the flow matrix. Options are “full” (uses most memory), “lu” (recommended), and “cg” (uses least memory).

nodes – Dictionary of nodes with current flow closeness centrality as the value.

Return type:



The algorithm is from Brandes [1].

See also [2] for the original definition of information centrality.


[1]Ulrik Brandes and Daniel Fleischer, Centrality Measures Based on Current Flow. Proc. 22nd Symp. Theoretical Aspects of Computer Science (STACS ‘05). LNCS 3404, pp. 533-544. Springer-Verlag, 2005. http://www.inf.uni-konstanz.de/algo/publications/bf-cmbcf-05.pdf
[2]Karen Stephenson and Marvin Zelen: Rethinking centrality: Methods and examples. Social Networks 11(1):1-37, 1989. http://dx.doi.org/10.1016/0378-8733(89)90016-6