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math.CO2024
Turán Densities for Small Hypercubes
David Ellis, Maria-Romina Ivan, Imre Leader
How small can a set of vertices in the -dimensional hypercube be if it meets every copy of ? The asymptotic density of such a set (for fixed and large) is den…
math.CO2024
Block Sizes in the Block Sets Conjecture
Maria-Romina Ivan, Imre Leader, Mark Walters
A set is called Euclidean Ramsey if, for any and sufficiently large , every -colouring of contains a monochromatic congruent copy of . This notion w…
math.CO2024★ 10 cited
Turán Densities for Daisies and Hypercubes
David Ellis, Maria-Romina Ivan, Imre Leader
An -daisy is an -uniform hypergraph consisting of the six -sets formed by taking the union of an -set with each of the 2-sets of a disjoint 4-set. Bollobás, Leader…