Parking cars of different sizes

• Published in 2017
• Added on 2026-02-11

We extend the notion of parking functions to parking sequences, which include cars of different sizes, and prove a product formula for the number of such sequences.

Links

• https://arxiv.org/abs/1708.09077v1
• https://arxiv.org/pdf/1708.09077v1

Other information

BibTeX entry

@article{Parkingcarsofdifferentsizes,
	key = {Parkingcarsofdifferentsizes},
	type = {article},
	title = {Parking cars of different sizes},
	author = {Richard Ehrenborg and Alex Happ},
	abstract = {We extend the notion of parking functions to parking sequences, which include cars of different sizes, and prove a product formula for the number of such sequences.},
	comment = {},
	date_added = {2026-02-11},
	date_published = {2017-02-11},
	urls = {https://arxiv.org/abs/1708.09077v1,https://arxiv.org/pdf/1708.09077v1},
	collections = {combinatorics,protocols-and-strategies},
	url = {https://arxiv.org/abs/1708.09077v1 https://arxiv.org/pdf/1708.09077v1},
	year = 2017,
	urldate = {2026-02-11},
	archivePrefix = {arXiv},
	eprint = {1708.09077},
	primaryClass = {math.CO}
}