Bounded Height Interlaced Pairs of Parking Functions

Francois Bergeron

Bounded Height Interlaced Pairs of Parking Functions

Combinatorics 2015-04-28 v1

Authors: Francois Bergeron

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.

Keywords

dyck paths canonical height

Cite

@article{arxiv.1504.07136,
  title  = {Bounded Height Interlaced Pairs of Parking Functions},
  author = {Francois Bergeron},
  journal= {arXiv preprint arXiv:1504.07136},
  year   = {2015}
}

Comments

7 pages, 1 figure

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