J. of Computational and Applied Math., 68, 1996, p. 79-101
Dominique Foata and Doron Zeilberger
Graphical Major Indices
Abstract.
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.
foata@math.u-strasbg.fr,
zeilberg@math.temple.edu
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