8 papers
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…
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 is g…
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…
Cyclic sieving on permutations -- an analysis of maps and statistics in the FindStat database
Ashleigh Adams, Jennifer Elder, Nadia Lafrenière +3
We perform a systematic study of permutation statistics and bijective maps on permutations using SageMath to search the FindStat combinatorial statistics database to identify appar…