5 papers
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…
Inversions in parking functions
Kyle Celano, Jennifer Elder, Kimberly P. Hadaway +3
In this paper, we obtain a q-exponential generating function for inversions on parking functions via symmetric function theory and also through a direct bijection to rooted labeled…
Statistics on -interval parking functions
Kyle Celano, Jennifer Elder, Kimberly P. Hadaway +4
The displacement of a car with respect to a parking function is the number of spots it must drive past its preferred spot in order to park. An -interval parking function is o…
Enumerating Flat Fubini Rankings
Kenny Barrese, Jennifer Elder, Pamela E. Harris +1
Recall that the set of Fubini rankings on competitors consists of the -tuples that encode the possible rankings of competitors in a competition allowing ties. Moreover,…
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…