What do a Longest Increasing Subsequence and a Longest Decreasing Subsequence Know About Each Other?
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Abstract
As a kind of converse of the celebrated Erd˝os-Szekeres theorem, we present a necessary and sufficient condition for a sequence of length n to contain a longest increasing subsequence and a longest decreasing subsequence of given lengths x and y, respectively.
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- last seen: 2026-05-19T01:45:01.086888+00:00