Proves that colorings of K_n with >= g(n,s) colors lacking a rainbow matching of size s+2 contain a monochromatic K_{n-s} or monochromatic K_{n-2s-1} vee empty K_{2s+1}.
Hall, On representatives of subsets,Journal of the London Mathematical Society, 1935, 26–30
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Stability for the Anti-Ramsey Number of Matchings
Proves that colorings of K_n with >= g(n,s) colors lacking a rainbow matching of size s+2 contain a monochromatic K_{n-s} or monochromatic K_{n-2s-1} vee empty K_{2s+1}.