As of Version 10, all the functionality of the GraphUtilities package is built into the Wolfram System. >>

finds the closeness centrality.


  • ClosenessCentrality functionality is now available in the built-in Wolfram Language function ClosenessCentrality.
  • To use , you first need to load the Graph Utilities Package using Needs["GraphUtilities`"].
  • The closeness centrality of a vertex u is defined as the inverse of the sum of the distance from u to all other vertices. The closeness centrality of a vertex in a disconnected graph is based on the closeness centrality of the component where this vertex belongs.
  • The following options can be given:
  • WeightedTruewhether edge weight is to be used in calculating distance
    NormalizeFalsewhether to normalize the output