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

被引:0
|
作者
Itskovich, Elizabeth J. [1 ]
Levit, Vadim E. [1 ]
机构
[1] Ariel Univ, Dept Comp Sci, IL-40700 Ariel, Israel
关键词
Erdos-Szekeres theorem; longest increasing sequence; longest decreasing sequence;
D O I
10.3390/a12110237
中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
As a kind of converse of the celebrated Erdos-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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页数:3
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