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- W2045575060 abstract "The trace of a family of sets ${cal A}$ on a set $X$ is ${cal A}|_X={Acap X:Ain {cal A}}$. If ${cal A}$ is a family of $k$-sets from an $n$-set such that for any $r$-subset $X$ the trace ${cal A}|_X$ does not contain a maximal chain, then how large can ${cal A}$ be? Patkós conjectured that, for $n$ sufficiently large, the size of ${cal A}$ is at most ${n-k+r-1choose r-1}$. Our aim in this paper is to prove this conjecture." @default.
- W2045575060 created "2016-06-24" @default.
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- W2045575060 date "2010-03-15" @default.
- W2045575060 modified "2023-09-28" @default.
- W2045575060 title "Traces Without Maximal Chains" @default.
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- W2045575060 doi "https://doi.org/10.37236/465" @default.
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