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math.CO2025
The Sunflower-Free Process
Patrick Bennett, Amanda Priestley
An -sunflower is a collection of sets such that the intersection of any two sets in the collection is identical. We analyze a random process which constructs a -uniform $…
math.CO2025
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…
math.CO2025
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…