Wolfram Language & System 10.3 (2015)|Legacy Documentation

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gives a list of Katz centralities for the vertices in the graph g and weight α.

gives a list of Katz centralities using weight α and initial centralities β.

uses rules to specify the graph g.

Details and OptionsDetails and Options

  • KatzCentrality gives a list of centralities that satisfy c=alpha TemplateBox[{a}, Transpose].c+beta, where is the adjacency matrix of g.
  • If β is a scalar, it is taken to mean .
  • KatzCentrality[g,α] is equivalent to KatzCentrality[g,α,1].
  • The option WorkingPrecision->p can be used to control the precision used in internal computations.
  • KatzCentrality works with undirected graphs, directed graphs, multigraphs, and mixed graphs.
Introduced in 2010
| Updated in 2015