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AboveAverageDegreeVertexCount on LabeledGraph ​

The vertices whose degree is greater than the average degree.

On LabeledGraph

FindStat's St001692. The graph with no vertices gives 0.

Called as CombinatorialStat(x, "AboveAverageDegreeVertexCount"). The head's page has its examples.

Live

Distribution

Over LabeledGraphs at each size, tallied here in your browser; sizes past 6 are not offered.

FindStat St001692

The number of vertices with higher degree than the average degree in a graph.

ObjectValue
([],1)0
([],2)0
([],3)0
([],4)0
([],5)0
([],6)0
([],7)0
([(0,1)],2)0

Data from FindStat, the combinatorial statistic finder; the page at findstat.org/St001692 has the rest.