Minkyu Jung

collaborators

2 papers

math.CO2026

The Middle Stair for Complete Bipartite Parallel Chip-Firing

Minkyu Jung

We prove the middle-stair conjecture for every complete bipartite graph. If a parallel chip-firing game on $K_{a, b}$ has configuration $σ$ with $2 ab - a - b < ∣ σ ∣ < 2 ab$ , then its eventual…

math.CO2026

A Local Classification of Four-Element Multiple Sumsets

Minkyu Jung

For a finite set $A \subset Z$ , write $h A$ for its $h$ -fold sumset, and let \[ R(h,k)=\{|hA|:A\subset\mathbb{Z},\ |A|=k\}. \] We determine the part of $R (h, 4)$ lying between…