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Parking functions and Haglund--Loehr data

Yurii M. Burman

math.COarXiv:math/0412378

Abstract

A parking function is a sequence of N nonnegative integers majorated by a permutation of the set 0, ..., N-1. We provide a way to encode parking functions by data suggested by J.Haglund and N.Loehr. This coding is compared with another one proposed earlier by M.Shapiro and the author.

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