Matt McClinton

collaborators

4 papers

math.CO2026

On the $q$ -multiplicity of sums of distinct simple roots of $sl_{r + 1} (C)$

Matt McClinton

In combinatorial representation theory, Kostant's weight multiplicity formula $m (I^», I^¼)$ is a tool that provides a means of determining the multiplicity of a weight $I^¼$ in the adj…

math.CO2026

Counting $ℓ$ -interval Fubini rankings through their parking outcome

Bjorn Andreas Ager-Hart, Melissa Beerbower, Pamela E. Harris +2

Fubini rankings with $n$ competitors are $n$ -tuples with entries in $[n] = {1, 2, 3, \dots, n}$ that encode the conclusion of a race that allows ties. Since Fubini rankings are parki…

math.CO2024

Metered Parking Functions

Spencer Daugherty, Pamela E. Harris, Ian Klein +1

We introduce a generalization of parking functions called $t$ -metered $(m, n)$ -parking functions, in which one of $m$ cars parks among $n$ spots per hour then leaves after $t$ hours…

math.CO2024

On some discrete statistics of parking functions

Ari Cruz, Pamela E. Harris, Kimberly J. Harry +5

Recall that $I^\pm = (a_{1}, a_{2}, \dots, a_{n}) \in [n]^{n}$ is a parking function if its nondecreasing rearrangement $I^^{2} = (b_{1}, b_{2}, \dots, b_{n})$ satisfies $b_{i} \leq i$ for all $1 \leq i \leq n$ . In t…

On the q-multiplicity of sums of distinct simple roots of slr+1​(C)

Counting ℓ-interval Fubini rankings through their parking outcome

Metered Parking Functions

On some discrete statistics of parking functions

On the $q$ -multiplicity of sums of distinct simple roots of $sl_{r + 1} (C)$

Counting $ℓ$ -interval Fubini rankings through their parking outcome