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Degeneracy on LabeledGraph ​

The greatest, over the sets of vertices, of the least number of neighbors a vertex has inside the set.

On LabeledGraph

FindStat's St001277. The graph with no vertices gives 0.

Called as CombinatorialStat(x, "Degeneracy"). 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 St001277

The degeneracy 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/St001277 has the rest.