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OddDegreeVertexCount on LabeledGraph ​

The vertices with an odd number of edges.

On LabeledGraph

FindStat's St000311. The graph with no vertices gives 0.

Called as CombinatorialStat(x, "OddDegreeVertexCount"). 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 St000311

The number of vertices of odd degree in a graph.

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

Data from FindStat, the combinatorial statistic finder; the page at findstat.org/St000311 has the rest.