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MaximumLeafNeighborCount on LabeledGraph ​

The most neighbors of degree 1 a vertex has.

On LabeledGraph

FindStat's St001826. The graph with no vertices gives 0.

Called as CombinatorialStat(x, "MaximumLeafNeighborCount"). 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 St001826

The maximal number of leaves on a vertex 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/St001826 has the rest.