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Paper detail

A sunflower anti-Ramsey theorem and its applications

A $h$-sunflower in a hypergraph is a family of edges with $h$ vertices in common. We show that if we colour the edges of a complete hypergraph in such a way that any monochromatic $h$-sunflower has at most $λ$ petals, then it contains a large rainbow complete subhypergraph. This extends a theorem by Lefmann, Rödl and Wysocka, but this version can be applied to problems in geometry and algebra. We also give an infinite version of the theorem.

preprint2015arXivOpen access
Leonardo Martínez-SandovalMiguel RaggiEdgardo Roldán-Pensado
math.CO
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Leonardo Martínez-SandovalMiguel RaggiEdgardo Roldán-Pensado

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