3 papers
math.CO2025
A new proof of an Eğecioğlu--Remmel inverse Kostka matrix problem via a Garsia--Milne involution involving Sym and NSym
Edward E. Allen, Kyle Celano, Sarah K. Mason
Eğecioğlu and Remmel provide a combinatorial proof (using special rim hook tableaux) that the product of the Kostka matrix and its inverse equals the identity matrix $…
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…