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IndependenceGap on LabeledGraph ​

The independence number less the fewest vertices of a maximal independent set.

On LabeledGraph

FindStat's St001323; 0 when every maximal independent set is as large as can be. The graph with no vertices gives 0.

Called as CombinatorialStat(x, "IndependenceGap"). 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 St001323

The independence gap of 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/St001323 has the rest.