The Graphical Major Index

Details The Graphical Major Index The Graphical Major Index

1994-06-23

arxiv.org/abs/math/9406220v1

J. Comp. Applied Math. 68(1996), 79-101

Mathematics

Combinatorics

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Scientific paper

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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