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NonTriangleVertexCount on LabeledGraph ​

The vertices on no triangle.

On LabeledGraph

FindStat's St001996. The graph with no vertices gives 0.

Called as CombinatorialStat(x, "NonTriangleVertexCount"). 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 St001996

The number of vertices of a graph not contained in a triangle.

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/St001996 has the rest.