Pamela E. Harris

activity

20242026

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Showing math.COShow all

5 papers · 1 filter

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 $n$ is g…

math.CO2026

Counting $ℓ$ -interval Fubini rankings through their parking outcome

Bjorn Andreas Ager-Hart, Melissa Beerbower, Pamela E. Harris +2

Fubini rankings with $n$ competitors are $n$ -tuples with entries in $[n] = {1, 2, 3, \dots, n}$ 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 $n + 1$ is said to be prime if removing any instance of 1 yields a parking function of length $n$ . In this article, we study prime parking…

math.CO2024

Metered Parking Functions

Spencer Daugherty, Pamela E. Harris, Ian Klein +1

We introduce a generalization of parking functions called $t$ -metered $(m, n)$ -parking functions, in which one of $m$ cars parks among $n$ spots per hour then leaves after $t$ hours…

math.CO2024

The Defective Parking Space and Defective Kreweras Numbers

Rebecca E. Garcia, Pamela E. Harris, Alex Moon +5

A defective $(m, n)$ -parking function with defect $d$ is a parking function with $m$ cars attempting to park on a street with $n$ parking spots in which exactly $d$ cars fail to par…

Lehmer Parking Functions and Their Outcomes

Counting ℓ-interval Fubini rankings through their parking outcome

On statistics of prime parking functions, Łukasiewicz paths, and quasisymmetric functions

Metered Parking Functions

The Defective Parking Space and Defective Kreweras Numbers

Counting $ℓ$ -interval Fubini rankings through their parking outcome