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DistanceFourPairCount on LabeledGraph ​

The pairs of vertices at distance 4.

On LabeledGraph

FindStat's St000449. The graph with no vertices gives 0.

Called as CombinatorialStat(x, "DistanceFourPairCount"). 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 St000449

The number of pairs of vertices of a graph with distance 4.

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

Data from FindStat, the combinatorial statistic finder; the page at findstat.org/St000449 has the rest.