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BUILT-IN MATHEMATICA SYMBOL
RadialityCentrality
RadialityCentrality[g]
gives a list of radiality centralities for the vertices in the graph g.
RadialityCentrality[g, "In"]
gives a list of in-centralities for a directed graph g.
RadialityCentrality[g, "Out"]
gives a list of out-centralities for a directed graph g.
Details
- 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.
New in 9
