# Wolfram Language & System 11.0 (2016)|Legacy Documentation

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

# MeanDegreeConnectivity

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.
• 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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 Out[1]=

Plot the mean degree connectivity:

 In[1]:=
 In[2]:=
 Out[2]=