Erdős-Szekeres Tableaux

被引：0
|
作者：
Shaun V. Ault
Benjamin Shemmer
机构：
[1] Valdosta State University,Department of Mathematics and Computer Science
[2] Fordham University,Department of Mathematics
来源：
Order | 2014年 / 31卷
关键词：
Monotone subsequence; Erdős-Szekeres Tableau; Total and partial order; 06A05; 06A06;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We explore a question related to the celebrated Erdős-Szekeres Theorem and develop a geometric approach to answer it. Our main object of study is the Erdős-Szekeres Tableau, or EST, of a number sequence. An EST is the sequence of integral points whose coordinates record the length of the longest increasing and longest decreasing subsequence ending at each element of the sequence. We define the Order Poset of an EST in order to answer the question: What information about the sequence can be recovered by its EST?
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页码：391 / 402
页数：11
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