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MaximumDegreeVertexCount on LabeledGraph ​

The vertices whose degree is the greatest.

On LabeledGraph

FindStat's St001368. The graph with no vertices gives 0.

Called as CombinatorialStat(x, "MaximumDegreeVertexCount"). 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 St001368

The number of vertices of maximal degree in a graph.

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

Data from FindStat, the combinatorial statistic finder; the page at findstat.org/St001368 has the rest.