Abstract
Recently, the authors extended the notion of parking functions to parking sequences, which include cars of different sizes, and proved a product formula for the number of such sequences. We give here a refinement of that result involving parking the cars after a trailer. The proof of the refinement uses a multi-parameter extension of the Abel–Rothe polynomial due to Strehl.
| Original language | English |
|---|---|
| Pages (from-to) | 402-406 |
| Number of pages | 5 |
| Journal | Australasian Journal of Combinatorics |
| Volume | 70 |
| Issue number | 3 |
| State | Published - 2018 |
Bibliographical note
Funding Information:The authors thank the four referees for their comments. Both authors were partially supported by National Security Agency grant H98230-13-1-0280. This work was partially supported by a grant from the Simons Foundation (#429370 to Richard Ehrenborg). The first author wishes to thank the Mathematics Department of Princeton University where this work was completed.
Funding Information:
The authors thank the four referees for their comments. Both authors were partially supported by National Security Agency grant H98230-13-1-0280. This work was partially supported by a grant from the Simons Foundation (#429370 to Richard Ehren-borg). The first author wishes to thank the Mathematics Department of Princeton University where this work was completed.
Publisher Copyright:
© 2018, University of Queensland. All rights reserved.
ASJC Scopus subject areas
- Discrete Mathematics and Combinatorics