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TotalIrregularity on LabeledGraph ​

The sum over the unordered pairs of vertices of the difference of their degrees.

On LabeledGraph

FindStat's St001522. The graph with no vertices gives 0.

Called as CombinatorialStat(x, "TotalIrregularity"). 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 St001522

The total irregularity 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/St001522 has the rest.