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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.CO2026
On statistics of prime parking functions, Łukasiewicz paths, and quasisymmetric functions
Pamela E. Harris, Selvi Kara, Erin McNicholas +2
We recall that a parking function of length is said to be prime if removing any instance of 1 yields a parking function of length . In this article, we study prime parking…