4 papers · 1 filter
Parking Cascades: From the Simplest Sequence to Motzkin and Catalan
Ben Adenbaum, Néstor F. DÃaz Morera, Jennifer Elder +3
We introduce -cascading parking functions, a parametrized variant of parking functions in which cars form bumping cascades of up to cars. Setting recovers cla…
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,…