StatusCentrality

StatusCentrality[g]

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

StatusCentrality[{vw,}]

uses rules vw to specify the graph g.

Details and Options

  • StatusCentrality gives a list of centralities that satisfy c=alpha TemplateBox[{a}, Transpose].c+alpha beta, where is the adjacency matrix of g, is the vector of minimums between the inverse of the largest in- or out-degree of each vertex, and is the vertex in-degree of g.
  • The status centrality for an isolated vertex is taken to be zero.
  • StatusCentrality works with undirected graphs, directed graphs, multigraphs, and mixed graphs.

Examples

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Basic Examples  (2)

Compute status centralities:

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Highlight:

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Rank vertices. Highest-ranked vertices are connected from other well-connected vertices:

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Scope  (6)

Options  (3)

Applications  (1)

Properties & Relations  (2)

See Also

KatzCentrality  EigenvectorCentrality  PageRankCentrality  HITSCentrality

Introduced in 2012
(9.0)
| Updated in 2015
(10.3)