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WienerIndex on LabeledGraph ​

The sum of the distances over the pairs of vertices that are joined by a path.

On LabeledGraph

FindStat's St000265, the Wiener index; a pair with no path adds nothing. The graph with no vertices gives 0.

Called as CombinatorialStat(x, "WienerIndex"). 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 St000265

The Wiener index of a graph.

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

Data from FindStat, the combinatorial statistic finder; the page at findstat.org/St000265 has the rest.