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
Publisher Copyright:© 2018, University of Queensland. All rights reserved.
Funding
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. 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.
| Funders | Funder number |
|---|---|
| Simons Foundation | 429370 |
| Princeton University | |
| National Security Agency | H98230-13-1-0280 |
ASJC Scopus subject areas
- Discrete Mathematics and Combinatorics