activity
20232026
most citedNew bounds on the generalized Ramsey number

1 citations · 1 across the 6 of their papers we have counts for

collaborators

6 papers

math.CO2026

Generalized Ramsey Numbers in the Hypercube

Emily Heath, Coy Schwieder, Shira Zerbib

We study the generalized Ramsey numbers , that is, the minimum number of colors needed to edge-color the hypercube so that every copy of the cycle h…

math.CO2025

Ramsey Numbers in Kneser Graphs

Emily Heath, Grace McCourt, Alex Parker +2

We define the as the minimum integer such that every red/blue edge-coloring of the Kneser graph …

math.CO2025

Odd Ramsey numbers of multipartite graphs and hypergraphs

Nicholas Crawford, Emily Heath, Owen Henderschedt +2

Given a hypergraph and a subhypergraph of , the \emph{odd Ramsey number} is the minimum number of colors needed to edge-color so that every copy of $H…

math.CO2024

On the proper rainbow saturation numbers of cliques, paths, and odd cycles

Dustin Baker, Enrique Gomez-Leos, Anastasia Halfpap +7

Given a graph , we say a graph is properly rainbow -saturated if there is a proper edge-coloring of which contains no rainbow copy of , but adding any edge to …

math.CO2024

Frogs, hats and common subsequences

Joseph Briggs, Alex Parker, Coy Schwieder +1

Write to mean the -letter word obtained by repeating a fixed word and let denote a uniformly random -letter word sampled from the same alphabet as . We…

math.CO2023★ 1 cited

New bounds on the generalized Ramsey number

Enrique Gomez-Leos, Emily Heath, Alex Parker +2

Let denote the minimum number of colors needed to color the edges of so that every copy of receives at least distinct colors. In this note, we show $\fra…