Robert Hancock

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2 papers · 1 filter

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…

math.CO2024

Immersions of directed graphs in tournaments

AntÃ³nio GirÃ£o, Robert Hancock

Recently, DraganiÄ, MunhÃ¡ Correia, Sudakov and Yuster showed that every tournament on $(2 + o (1)) k^{2}$ vertices contains a $1$ -subdivision of a transitive tournament on $k$ vertices…