Suho Oh

activity

20212026

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math.CO2025

Parking functions and chip-firing on hypergraphs

Timothy Blanton, Anton Dochtermann, Isabelle Hong +2

For a connected graph $G$ with sink vertex $q$ , a $G$ -parking function is a vector of nonnegative integers whose entries are determined by cut-sets in $G$ . Such objects also arise…

math.CO2025

Extendability of $1$ -decomposable complexes

Rhea Ghosal, Melody Han, Benjamin Keller +5

A well-known conjecture of Simon (1994) states that any pure $d$ -dimensional shellable complex on $n$ vertices can be extended to $Δ_{n - 1}^{(d)}$ , the $d$ -skeleton of the $(n - 1)$ -d…

math.CO2025

Permutation ensembles on products of simplices

SuHo Oh

We propose the study of $S_{n}$ -ensembles: $n \times n$ arrays of permutations of $[n]$ that encode the boundary data of $n Δ_{n - 1}$ . We develop a general toolkit for these ensembles,…

Parking functions and chip-firing on hypergraphs

Extendability of 1-decomposable complexes

Permutation ensembles on products of simplices

Extendability of $1$ -decomposable complexes