Bounded Height Interlaced Pairs of Parking Functions
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.
- Publication:
-
arXiv e-prints
- Pub Date:
- April 2015
- DOI:
- 10.48550/arXiv.1504.07136
- arXiv:
- arXiv:1504.07136
- Bibcode:
- 2015arXiv150407136B
- Keywords:
-
- Mathematics - Combinatorics;
- 05A15;
- 05A19;
- 05E05;
- 05E10
- E-Print:
- 7 pages, 1 figure