Proves existence of r-graphs G with G not arrowing to (K_t1^r ,...,K_tℓ^r) but arrowing to (K_s^r , K_{tℓ-1}^r) where s = R(...) - 1, extending the r=2 case.
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A note on hypergraphs with asymmetric Ramsey properties
Proves existence of r-graphs G with G not arrowing to (K_t1^r ,...,K_tℓ^r) but arrowing to (K_s^r , K_{tℓ-1}^r) where s = R(...) - 1, extending the r=2 case.