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$left( n , k , k - 1
ight)$-Steiner Systems in Random Hypergraphs | Michael Simkin
; | Date: |
6 Nov 2017 | Abstract: | Let $H$ be a random $k$-uniform $n$-vertex hypergraph where every $k$-tuple
belongs to $H$ independently with probability $p$. We show that for some
$varepsilon_k > 0$, if $p geq n^{-varepsilon_k}$, then asymptotically almost
surely $H$ contains an $left( n , k , k - 1
ight)$-Steiner System. Our main
tool is Keevash’s method of Randomized Algebraic Constructions. | Source: | arXiv, 1711.1975 | Services: | Forum | Review | PDF | Favorites |
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