CutVertexCount on LabeledGraph
The vertices whose deletion leaves more components.
FindStat's St000552. The deleted vertex stays as an isolated one, a component of its own. The graph with no vertices gives 0.
Called as CombinatorialStat(x, "CutVertexCount"). The head's page has its examples.
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Distribution
Over LabeledGraphs at each size, tallied here in your browser; sizes past 6 are not offered.
FindStat St000552
The number of cut vertices of a graph.
| Object | Value |
|---|---|
([],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/St000552 has the rest.