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On Bollob\'as-type theorems of $d$-tuples

math.CO · 2024-11-26 · conditional · novelty 6.0

For Bollobás systems of d-tuples, the conjectured bound sum of inverse multinomials <= 1 is false; the paper proves an asymptotically tight upper bound for d=3 and tight uniform skew bounds.

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  • On Bollob\'as-type theorems of $d$-tuples math.CO · 2024-11-26 · conditional · none · ref 2

    For Bollobás systems of d-tuples, the conjectured bound sum of inverse multinomials <= 1 is false; the paper proves an asymptotically tight upper bound for d=3 and tight uniform skew bounds.