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math.CO2026
Parking Cascades: From the Simplest Sequence to Motzkin and Catalan
Ben Adenbaum, Néstor F. Díaz 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…
math.CO2026
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…