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DegreeTwoVertexCount on LabeledGraph ​

The vertices with exactly two edges.

On LabeledGraph

FindStat's St000313. The graph with no vertices gives 0.

Called as CombinatorialStat(x, "DegreeTwoVertexCount"). 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 St000313

The number of degree 2 vertices of a graph.

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

Data from FindStat, the combinatorial statistic finder; the page at findstat.org/St000313 has the rest.