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comprehensive centrality resource and server for centralities calculation version: 1.0.0

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Closeness Vitality


Definition

Closeness vitality of a node is the change in the sum of distances between all node pairs when excluding that node.

Algorithm


1: Calculate initial wiener index of G
2: for all nodes in graph G do
3:    Remove node vi, creating a modied graph G'
4:    Calculate wiener index of G'
4:    Store result as wiener index of G - wiener index of G'
6: end for

Requirements

Require strongly connected network.

References

  • BRANDES, U. & ERLEBACH, T. 2005. Network Analysis: Methodological Foundations, U.S. Government Printing Office.


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