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.CO2026
Counting -interval Fubini rankings through their parking outcome
Bjorn Andreas Ager-Hart, Melissa Beerbower, Pamela E. Harris +2
Fubini rankings with competitors are -tuples with entries in that encode the conclusion of a race that allows ties. Since Fubini rankings are parki…
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…