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 eprints
 Pub Date:
 April 2015
 arXiv:
 arXiv:1504.07136
 Bibcode:
 2015arXiv150407136B
 Keywords:

 Mathematics  Combinatorics;
 05A15;
 05A19;
 05E05;
 05E10
 EPrint:
 7 pages, 1 figure