4 papers
Interval and -interval Rational Parking Functions
Tomás Aguilar-Fraga, Jennifer Elder, Rebecca E. Garcia +12
Interval parking functions are a generalization of parking functions in which cars have an interval preference for their parking. We generalize this definition to parking functions…
Cost-sharing in Parking Games
Jennifer Elder, Pamela E. Harris, Jan Kretschmann +1
In this paper, we study the total displacement statistic of parking functions from the perspective of cooperative game theory. We introduce parking games, which are coalitional cos…
Parking functions, Fubini rankings, and Boolean intervals in the weak order of
Jennifer Elder, Pamela E. Harris, Jan Kretschmann +1
Let denote the symmetric group and let denote the weak order of . Through a surprising connection to a subset of parking functi…
On some discrete statistics of parking functions
Ari Cruz, Pamela E. Harris, Kimberly J. Harry +5
Recall that is a parking function if its nondecreasing rearrangement satisfies for all . In t…