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DissociationNumber on LabeledGraph ​

The most vertices in a set in which every vertex has at most one neighbor.

On LabeledGraph

FindStat's St001315. The graph with no vertices gives 0.

Called as CombinatorialStat(x, "DissociationNumber"). 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 St001315

The dissociation number of a graph.

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/St001315 has the rest.