The Number of Prime Parking Functions.

Duarte, Rui; Guedes de Oliveira, António

This article explores the concept of parking functions in mathematics, specifically focusing on prime parking functions. It discusses the conditions under which all cars can park in a one-way street with labeled parking spaces. The article also discusses the relationship between prime parking functions and hyperplane arrangements in R^n. It presents a theorem relating parking functions and prime parking functions and aims to prove it in a simple and original manner. The article concludes by discussing the uniqueness of prime parking functions and presents a mathematical proof demonstrating the contradiction in the proof. Examples and graphs are provided throughout the article to illustrate the concepts. The authors acknowledge support from funding sources.

PRIME numbers; GENERATING functions; GRAPH labelings; SET functions; PARKS

Mathematical Intelligencer, 2024, Vol 46, Issue 3, p222

0343-6993

Academic Journal

10.1007/s00283-023-10275-5