Ramseyan variations on symmetric subsequences

• Published in: Algebra and Discrete Mathematics
• Date: 2003
• Main Author: Verbitsky, O.
• Format: Article
• Language: English
• Published: Інститут прикладної математики і механіки НАН України 2003
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/154678
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Ramseyan variations on symmetric subsequences / O. Verbitsky // Algebra and Discrete Mathematics. — 2003. — Vol. 2, № 1. — С. 111–124. — Бібліогр.: 16 назв. — англ.

A theorem of Dekking in the combinatorics of words implies that there exists an injective order-preserving transformation f : {0, 1, . . . , n} → {0, 1, . . . , 2n} with the restriction f(i + 1) ≤ f(i) + 2 such that for every 5-term arithmetic progression P its image f(P) is not an arithmetic prog...