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Bounded Height Interlaced Pairs of Parking Functions

2015/04/27 by Bergeron, Francois
#05A15 #05A19 #05E05 #05E10 #Combinatorics (math.CO) #FOS: Mathematics

paper · doi:10.48550/arxiv.1504.07136

Abstract

We enumerate interlaced pairs of parking functions whose underlying Dyck path has a bounded height. We obtain an explicit formula for this enumeration in the form of a quotient of analogs of Chebicheff polynomials having coefficients in the ring of symmetric functions.

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