On rainbow-free colourings of uniform hypergraphs

We study rainbow-free colourings of k-uniform hypergraphs; that is, colourings that use k colours but with the property that no hyperedge attains all colours. We show that p⁎ = (k−1)(ln⁡n)/n is the threshold function for the existence of a rainbow-free colouring in a random k-uniform hypergraph....

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Príomhchruthaitheoirí: Groot Koerkamp, R, Živný, S
Formáid: Journal article
Teanga:English
Foilsithe / Cruthaithe: Elsevier 2021