Joseph Hyde

collaborators

2 papers

math.CO2026

The threshold for the asymmetric vertex-Ramsey property in randomly perturbed graphs

Asier Calbet, Victor Falgas-Ravry, Joseph Hyde

For $r \geq 2$ and graphs $H_{1}, \dots, H_{r}, G$ , we say that $G$ is $(H_{1}, \dots, H_{r})$ vertex-Ramsey, or $(H_{1}, \dots, H_{r})_{v}$ -Ramsey, if whenever we colour the vertices of $G$ …

math.CO2025

Proof of the Kohayakawa--Kreuter conjecture for the majority of cases

Candida Bowtell, Robert Hancock, Joseph Hyde

For graphs $G, H_{1}, \dots, H_{r}$ , write $G \to (H_{1}, \dots, H_{r})$ to denote the property that whenever we $r$ -colour the edges of $G$ , there is a monochromatic copy of $H_{i}$ in colou…