Hedgehogs are not colour blind

Published 2 Nov 2015 in math.CO | (1511.00563v1)

Abstract: We exhibit a family of $3$-uniform hypergraphs with the property that their $2$-colour Ramsey numbers grow polynomially in the number of vertices, while their $4$-colour Ramsey numbers grow exponentially. This is the first example of a class of hypergraphs whose Ramsey numbers show a strong dependence on the number of colours.

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