Monotone Subsequences in Any Dimension
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Ryan Siders
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Article
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1999
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Elsevier Science
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English
โ 147 KB
We exhibit sequences of n points in d dimensions with no long monotone subsequences, by which we mean when projected in a general direction, our sequence has no monotone subsequences of length -n+d or more. Previous work proved that this function of n would lie betweenn and 2 -n; this paper establis