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ComplementComponentCount on LabeledGraph ​

The connected components of the complement graph.

On LabeledGraph

FindStat's St000286. The graph with no vertices gives 0.

Called as CombinatorialStat(x, "ComplementComponentCount"). 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 St000286

The number of connected components of the complement of a graph.

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

Data from FindStat, the combinatorial statistic finder; the page at findstat.org/St000286 has the rest.