Emily Heath

activity

20242026

collaborators

3 papers

math.CO2026

Generalized Ramsey Numbers in the Hypercube

Emily Heath, Coy Schwieder, Shira Zerbib

We study the generalized Ramsey numbers $f (Q_{n}, C_{k}, q)$ , that is, the minimum number of colors needed to edge-color the hypercube $Q_{n}$ so that every copy of the cycle $C_{k}$ h…

math.CO2025

Ramsey Numbers in Kneser Graphs

Emily Heath, Grace McCourt, Alex Parker +2

We define the $r -Kneser Ramsey number$ $R_{r}^{KG} (s, t)$ as the minimum integer $n$ such that every red/blue edge-coloring of the Kneser graph $KG (n, r)$ …

math.CO2024

Online Ramsey numbers of ordered graphs

Emily Heath, Dylan King, Grace McCourt +2

The online ordered Ramsey game is played between two players, Builder and Painter, on an infinite sequence of vertices with ordered graphs $(G_{1}, G_{2})$ , which have linear orderings…