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A 2-coloring of [1, n] can have (1/22)n2 + o(n) monochromatic Schur triples, but not less! the Electronic Journal of Combinatorics, 5(R19):2, 1998

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An Unsure Note on an Un-Schur Problem

math.CO · 2024-10-29 · unverdicted · novelty 6.0

Proves that the maximum fraction of rainbow Schur triples in 3-colorings of [n] satisfies 0.4 ≤ fraction ≤ 0.66364 and conjectures the lower bound is tight.

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  • An Unsure Note on an Un-Schur Problem math.CO · 2024-10-29 · unverdicted · none · ref 16

    Proves that the maximum fraction of rainbow Schur triples in 3-colorings of [n] satisfies 0.4 ≤ fraction ≤ 0.66364 and conjectures the lower bound is tight.