Thresholds for (n,q,2)-Steiner Systems via Refined Absorption

arxiv（2024）

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摘要

We prove that if p ≥ n^-(q-6)/2, then asymptotically almost surely the binomial random q-uniform hypergraph G^(q)(n,p) contains an (n,q,2)-Steiner system, provided n satisfies the necessary divisibility conditions.

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