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CyclomaticNumber on LabeledGraph ​

The edges less the vertices plus the components: the independent cycles.

On LabeledGraph

FindStat's St001311. The graph with no vertices gives 0.

Called as CombinatorialStat(x, "CyclomaticNumber"). 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 St001311

The cyclomatic number of a graph.

ObjectValue
([],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/St001311 has the rest.