Establishes that δ-far 2-colorings contain unavoidable t-colorings for δ ≫ n^{-1/t} and δ-far tournaments contain unavoidable t-tournaments for δ ≫ n^{-1/⌈t/2⌉}, determining the order of the corresponding Ramsey numbers conditionally on a bipartite Turán conjecture.
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Tur\'an theorems for unavoidable patterns
Establishes that δ-far 2-colorings contain unavoidable t-colorings for δ ≫ n^{-1/t} and δ-far tournaments contain unavoidable t-tournaments for δ ≫ n^{-1/⌈t/2⌉}, determining the order of the corresponding Ramsey numbers conditionally on a bipartite Turán conjecture.