# Wolfram Language & System 10.3 (2015)|Legacy Documentation

This is documentation for an earlier version of the Wolfram Language.
BUILT-IN WOLFRAM LANGUAGE SYMBOL

gives a list of radiality centralities for the vertices in the graph g.

gives a list of in-centralities for a directed graph g.

gives a list of out-centralities for a directed graph g.

uses rules to specify the graph g.

## DetailsDetails

• Radiality in-centralities are also known as integration centralities.
• RadialityCentrality will give high centralities to vertices that are a short distance to every other vertex in its reachable neighborhood compared to its diameter.
• Radiality out-centrality for a vertex is computed using the out component for the vertex and is given by , where is the distance from to in , is the diameter of , and the sum is over the vertices in .
• Radiality in-centrality for a vertex is computed using the in component for the vertex and is given by , where is the distance from to in , is the diameter of , and the sum is over the vertices in .
• The radiality centrality for an isolated vertex is taken to be zero.
• RadialityCentrality works with undirected graphs, directed graphs, weighted graphs, multigraphs, and mixed graphs.

## ExamplesExamplesopen allclose all

### Basic Examples  (2)Basic Examples  (2)

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Highlight:

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Rank vertices. Highest-ranked vertices are at a short distance to all reachable vertices compared to the highest distance in the graph:

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