GraphCycleCount on LabeledGraph
The cycles, each counted once however it is started or turned.
FindStat's St001736. The graph with no vertices gives 0.
Called as CombinatorialStat(x, "GraphCycleCount"). 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 St001736
The total number of cycles in 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/St001736 has the rest.