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- W1582582384 abstract "We prove that for every integer $rgeq 2$, an $n$-vertex $k$-uniform hypergraph $H$ containing no $r$-regular subgraphs has at most $(1+o(1)){{n-1}choose{k-1}}$ edges if $kgeq r+1$ and $n$ is sufficiently large. Moreover, if $rin{3,4}$, $rmid k$ and $k,n$ are both sufficiently large, then the maximum number of edges in an $n$-vertex $k$-uniform hypergraph containing no $r$-regular subgraphs is exactly ${{n-1} choose {k-1}}$, with equality only if all edges contain a specific vertex $v$. We also ask some related questions." @default.
- W1582582384 created "2016-06-24" @default.
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- W1582582384 date "2016-07-01" @default.
- W1582582384 modified "2023-09-23" @default.
- W1582582384 title "Regular subgraphs of uniform hypergraphs" @default.
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- W1582582384 doi "https://doi.org/10.1016/j.jctb.2016.03.001" @default.
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