Erik Metz

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math.CO2018

Upper and Lower Bounds on Zero-Sum Generalized Schur Numbers

Erik Metz

Let $S_{z} (k, r)$ be the least positive integer such that for any $r$ -coloring $χ : {1, 2, \dots, S_{z} (k, r)} ⟶ {1, 2, \dots, r}$ , there is a seq…

math.CO2018

On the Distribution of Range for Tree-Indexed Random Walks

Aaron Berger, Caleb Ji, Erik Metz

We study tree-indexed random walks as introduced by Benjamini, Häggström, and Mossel, i.e. labelings of a tree for which adjacent vertices have labels differing by 1. It is a conje…

math.CO2017

The Muffin Problem

Guangiqi Cui, John Dickerson, Naveen Durvasula +6

You have $m$ muffins and $s$ students. You want to divide the muffins into pieces and give the shares to students such that every student has $\frac{m}{s}$ muffins. Find a divide-a…