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29 March 2024
 
  » arxiv » 1505.5170

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A sunflower anti-Ramsey theorem and its applications
Leonardo Martínez-Sandoval ; Miguel Raggi ; Edgardo Roldán-Pensado ;
Date 19 May 2015
AbstractA $h$-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 $lambda$ petals, then it contains a large rainbow complete subhypergraph. This extends a theorem by Lefmann, R"odl and Wysocka, but this version can be applied to problems in geometry and algebra. We also give an infinite version of the theorem.
Source arXiv, 1505.5170
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