On a Question Raised by Brown, Graham and Landman
We construct non-periodic 2-colorings that avoid long mochromatic progressions having odd common differences. Also we prove that the set of all arithmetic progressions with common differences in $\left( \mathbb{N}\mathbf{!-}1\right) \cup \mathbb{N}!\cup \left( \mathbb{N}\mathbf{!+}1\right) - \{ 0\}$...
Saved in:
| Published in | Sarajevo journal of mathematics Vol. 1; no. 1; pp. 15 - 20 |
|---|---|
| Main Author | |
| Format | Journal Article |
| Language | English |
| Published |
12.06.2024
|
| Online Access | Get full text |
Cover
Loading…
| Summary: | We construct non-periodic 2-colorings that avoid long mochromatic progressions having odd common differences. Also we prove that the set of all arithmetic progressions with common differences in $\left( \mathbb{N}\mathbf{!-}1\right) \cup \mathbb{N}!\cup \left( \mathbb{N}\mathbf{!+}1\right) - \{ 0\}$ does not have the $2$-Ramsey property.
2000 Mathematics Subject Classification. Primary 11B25; Secondary 05D10 |
|---|---|
| ISSN: | 1840-0655 2233-1964 |
| DOI: | 10.5644/SJM.01.1.03 |