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HosoyaIndex on LabeledGraph ​

The sets of edges with no two sharing a vertex, the empty set included.

On LabeledGraph

FindStat's St000468. The graph with no vertices has the empty set, so 1.

Called as CombinatorialStat(x, "HosoyaIndex"). 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 St000468

The Hosoya index of a graph.

ObjectValue
([],1)1
([],2)1
([],3)1
([],4)1
([],5)1
([],6)1
([],7)1
([(0,1)],2)2

Data from FindStat, the combinatorial statistic finder; the page at findstat.org/St000468 has the rest.