The Graphical Major Index
classification
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keywords
graphsindexmajoralphabetansweredarbitrarycharacterizingclassical
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A generalization of the classical statistics ``maj'' and ``inv'' (the major index and number of inversions) on words is introduced, parameterized by arbitrary graphs on the underlying alphabet. The question of characterizing those graphs that lead to equi-distributed "inv" and "maj" is posed and answered.
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