3 papers
math.CO2026
Lehmer Parking Functions and Their Outcomes
Melissa Beerbower, Jennifer Elder, Pamela E. Harris +4
We introduce Lehmer parking functions and study their set of parking outcomes. Our main results establish that the number of outcomes of Lehmer parking functions of length is g…
math.CO2025
Lucky Cars in Fubini Rankings and Unit Fubini Rankings
Camilo Barreto, Melissa Beerbower, Jennifer Elder +6
We study lucky cars in subsets of parking functions, called Fubini rankings and unit Fubini rankings. A Fubini ranking is a sequence of nonnegative integers that encodes a valid ra…
math.CO2025
Pullback parking functions
Jennifer Elder, Pamela E. Harris, Lybitina Koene +3
We introduce a generalization of parking functions in which cars are limited in their movement backwards and forwards by two nonnegative integer parameters and , respecti…