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· 2024

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Transversal packings in families of percolated hypergraphs

math.CO · 2025-07-17 · accept · novelty 6.0

For any strictly 1-balanced k-graph F, k-graph systems above the transversal Dirac threshold with high probability contain a transversal F-factor after independent random sparsification at p = Ω(n^{-1/d1(F)-1} (log n)^{1/t}).

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  • Transversal packings in families of percolated hypergraphs math.CO · 2025-07-17 · accept · none · ref 4

    For any strictly 1-balanced k-graph F, k-graph systems above the transversal Dirac threshold with high probability contain a transversal F-factor after independent random sparsification at p = Ω(n^{-1/d1(F)-1} (log n)^{1/t}).