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On the connection between chromatic number, maximal clique and minimal degree of a graph

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A note on the $t$-partite link problem of F\"uredi

math.CO · 2026-05-11 · unverdicted · novelty 6.0

π_link(t) ≤ 1 - t^{-1} - t^{-2}/12 for every t ≥ 2, which determines the order of the gap to the trivial bound 1 - t^{-1} up to a constant factor when paired with Goldwasser's lower bound for prime-power t-1.

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  • A note on the $t$-partite link problem of F\"uredi math.CO · 2026-05-11 · unverdicted · none · ref 73

    π_link(t) ≤ 1 - t^{-1} - t^{-2}/12 for every t ≥ 2, which determines the order of the gap to the trivial bound 1 - t^{-1} up to a constant factor when paired with Goldwasser's lower bound for prime-power t-1.