Erdos-Szekeres tableaux
Combinatorics
2014-07-03 v1
Abstract
We explore a question related to the celebrated Erd\H{o}s-Szekeres Theorem and develop a geometric approach to answer it. Our main object of study is the Erd\H{o}s-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?
Cite
@article{arxiv.1407.0579,
title = {Erdos-Szekeres tableaux},
author = {Shaun V. Ault and Benjamin Shemmer},
journal= {arXiv preprint arXiv:1407.0579},
year = {2014}
}
Comments
10 pages, 5 figures