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A celebrated result in Ramsey Theory states that the order of magnitude of the triangle-complete graph Ramsey numbers R(3,t) is t2/logt. In this paper, we consider an analogue of this problem for uniform hypergraphs. A triangle is a hypergraph consisting of edges e,f,g such that |e∩f|=|f∩g|=|g∩e|=1 and e∩f∩g=∅. For all r⩾2, let R(C3,Ktr) be the smallest positive integer n such that in every red–blue...
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