What Do a Longest Increasing Subsequence and a Longest Decreasing Subsequence Know about Each Other?

As a kind of converse of the celebrated Erdős&#8722;Szekeres theorem, we present a necessary and sufficient condition for a sequence of length <i>n</i> to contain a longest increasing subsequence and a longest decreasing subsequence of given lengths <i>x</i> and <i>...

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Bibliographic Details
Main Authors: Elizabeth J. Itskovich, Vadim E. Levit
Format: Article
Language:English
Published: MDPI AG 2019-11-01
Series:Algorithms
Subjects:
Online Access:https://www.mdpi.com/1999-4893/12/11/237