Bryce Frederickson

collaborators

Showing math.COShow all

3 papers · 1 filter

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.CO2023

Vector space Ramsey numbers and weakly Sidorenko affine configurations

Bryce Frederickson, Liana Yepremyan

For $B \subseteq F_{q}^{m}$ , the $n$ -th affine extremal number of $B$ is the maximum cardinality of a set $A \subseteq F_{q}^{n}$ with no subset which is affinely isomorphi…

math.CO2023

Circuit decompositions of binary matroids

Bryce Frederickson, Lukas Michel

Given a simple Eulerian binary matroid $M$ , what is the minimum number of disjoint circuits necessary to decompose $M$ ? We prove that $∣ M ∣/ (rank (M) + 1)$ many circ…