GraphComponentCount on LabeledGraph
The connected components: the vertices that are the first of their component.
FindStat's St000287. The graph with no vertices gives 0.
Called as CombinatorialStat(x, "GraphComponentCount"). 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 St000287
The number of connected components of a graph.
| Object | Value |
|---|---|
([],1) | 1 |
([],2) | 2 |
([],3) | 3 |
([],4) | 4 |
([],5) | 5 |
([],6) | 6 |
([(0,1)],2) | 1 |
([(1,2)],3) | 2 |
Data from FindStat, the combinatorial statistic finder; the page at findstat.org/St000287 has the rest.