Bryce Frederickson

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20182026

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math.CO2025

Improved Decomposition Bounds for Partition Polytopes and Odd-Covers

Steffen Borgwardt, Zdeněk Dvořák, Bryce Frederickson +2

The assignments of a set of $m$ items into $n$ clusters of prescribed sizes $k_{1}, \dots, k_{n}$ can be encoded as the vertices of the partition polytope $PP (k_{1}, \dots, k_{n})$ . W…

math.CO2025

Towards Graham's rearrangement conjecture via rainbow paths

Matija Bucić, Bryce Frederickson, Alp Müyesser +2

We study an old question in combinatorial group theory which can be traced back to a conjecture of Graham from 1971. Given a group $Γ$ , and some subset $S \subseteq Γ$ , is it possib…