Szemerédi, On graphs containing no complete subgraph with4 vertices, Mat

· 1972

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math.CO · 2024-09-06 · unverdicted · novelty 7.0

Proves ρ(3,6,δ) ≤ 5/12 + δ/2 + 2.1025δ² via regularity lemma and stability, advancing the Kim-Kim-Liu conjecture on (K3,K6)-Ramsey-Turán densities.

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A step towards the Ramsey-Tur\'{a}n conjecture for $K_3$ and $K_6$ math.CO · 2024-09-06 · unverdicted · none · ref 36
Proves ρ(3,6,δ) ≤ 5/12 + δ/2 + 2.1025δ² via regularity lemma and stability, advancing the Kim-Kim-Liu conjecture on (K3,K6)-Ramsey-Turán densities.