MeanNeighborDegree

MeanNeighborDegree[g]
gives a list of mean neighbor degrees of vertices for the graph g.

MeanNeighborDegree[g, "In"]
gives a list of mean neighbor in-degrees.

MeanNeighborDegree[g, "Out"]
gives a list of mean neighbor out-degrees.

DetailsDetails

  • The mean neighbor degree is also known as the average neighbor degree.
  • The mean neighbor degree of the vertex is the mean of vertex degrees of neighbors of .
  • For weighted graphs, the mean neighbor degree of the vertex is given by over all neighbors of with edge weight between and . is the degree of the vertex and is the total of weights .

ExamplesExamplesopen allclose all

Basic Examples (2)Basic Examples (2)

Compute mean neighbor degrees:

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Highlight:

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Rank the vertices. Highest-ranked vertices are adjacent to high-degree vertices:

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