Bryce Frederickson

activity

20182026

collaborators

Showing 2023 · math.COShow all

4 papers · 2 filters

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…

math.CO2023

Path Odd-Covers of Graphs

Steffen Borgwardt, Calum Buchanan, Eric Culver +3

We introduce and study "path odd-covers", a weakening of Gallai's path decomposition problem and a strengthening of the linear arboricity problem. The "path odd-cover number" $p_2(…

math.CO2023

Triangle Percolation on the Grid

Igor Araujo, Bryce Frederickson, Robert A. Krueger +5

We consider a geometric percolation process partially motivated by recent work of Hejda and Kala. Specifically, we start with an initial set $X \subseteq Z^{2}$ , and then it…