MeanDegreeConnectivity

MeanDegreeConnectivity[g]
gives a list of k-mean degree connectivity for the graph g for successive k=0,1,2 .

MeanDegreeConnectivity[g,"In"]
gives a list of k-mean in-degree connectivity for the graph g.

MeanDegreeConnectivity[g,"Out"]
gives a list of k-mean out-degree connectivity for the graph g.

MeanDegreeConnectivity[{vw,},]
uses rules vw to specify the graph g.

DetailsDetails

  • The mean degree connectivity is also known as average degree connectivity and average nearest neighbor degree.
  • The k-mean degree connectivity is the average of the mean neighbor degrees of vertices of degree k.
  • MeanDegreeConnectivity[g] returns a list {m0,m1,,md}, where mk is the k-mean degree connectivity and d is the maximum vertex degree in g.
  • MeanDegreeConnectivity works with undirected graphs, directed graphs, weighted graphs, multigraphs, and mixed graphs.

ExamplesExamplesopen allclose all

Basic Examples  (2)Basic Examples  (2)

Compute the mean degree connectivity for a graph:

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Plot the mean degree connectivity:

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