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VertexCoverNumber on LabeledGraph ​

The fewest vertices that meet every edge: the vertices less the independence number.

On LabeledGraph

FindStat's St000362. The graph with no vertices gives 0.

Called as CombinatorialStat(x, "VertexCoverNumber"). 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 St000362

The size of a minimal vertex cover of a graph.

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

Data from FindStat, the combinatorial statistic finder; the page at findstat.org/St000362 has the rest.