6 papers
A Pollak Proof for the Number of Weakly Increasing Parking Functions
Pamela E. Harris, J. Carlos MartÃnez Mori, Alexander N. Wilson
We develop a circular-street argument, in the style of Pollak, to obtain a new proof that there are weakly increasing parking functions of length…
Restricted Fubini Rankings and Restricted Unit Interval Parking Functions
Camilo Barreto, Pamela Harris, José L. RamÃrez +2
We study three natural types of restrictions on Fubini rankings and unit interval parking functions, which are motivated by their correspondence with ordered set partitions. For ea…
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…
Enumerating Vector Parking Functions and their Outcomes Based on Specified Lucky Cars
Melanie Ferreri, Pamela E. Harris, Lucy Martinez +1
In a parking function, a car is considered lucky if it is able to park in its preferred spot. Extending work of Harris and Martinez, we enumerate outcomes of parking functions with…
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…
Parking functions with a fixed set of lucky cars
Pamela E. Harris, Lucy Martinez
In a parking function, a lucky car is a car that parks in its preferred parking spot and the parking outcome is the permutation encoding the order in which the cars park on the str…