M. Walters

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math.CO2026

Generalised Prisms and Euclidean Ramsey Theory

Maria-Romina Ivan, Imre Leader, Mark Walters

A finite subset $X$ of $R^{d}$ is called Ramsey if for every $k$ there exists an $n$ such that whenever $R^{n}$ is $k$ -coloured there exists a monochromatic congruent c…

math.CO2024

Block Sizes in the Block Sets Conjecture

Maria-Romina Ivan, Imre Leader, Mark Walters

A set $X$ is called Euclidean Ramsey if, for any $k$ and sufficiently large $n$ , every $k$ -colouring of $R^{n}$ contains a monochromatic congruent copy of $X$ . This notion w…