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ForgottenIndex on LabeledGraph ​

The sum of the cubes of the degrees.

On LabeledGraph

FindStat's St000571, the F-index. The graph with no vertices gives 0.

Called as CombinatorialStat(x, "ForgottenIndex"). The head's page has its examples.

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FindStat St000571

The F-index (or forgotten topological index) of a graph.

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

Data from FindStat, the combinatorial statistic finder; the page at findstat.org/St000571 has the rest.