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InducedPathOnThreeVerticesCount on LabeledGraph ​

The sets of three vertices that induce a path: exactly two of the three edges.

On LabeledGraph

FindStat's St001308. The graph with no vertices gives 0.

Called as CombinatorialStat(x, "InducedPathOnThreeVerticesCount"). 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 St001308

The number of induced paths on three vertices 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/St001308 has the rest.