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HalfAlbertsonIndex on LabeledGraph ​

Half the sum over the edges of the difference of the degrees of its ends.

On LabeledGraph

FindStat's St001350. The sum is always even. The graph with no vertices gives 0.

Called as CombinatorialStat(x, "HalfAlbertsonIndex"). 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 St001350

Half of the Albertson index 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/St001350 has the rest.