Timeline for Does every big polyomino contain a big arithmetic progression?
Current License: CC BY-SA 4.0
5 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jan 6 at 0:55 | comment | added | Zach Hunter | yeah surely, this was thus the cheapest thing that came to me. I will think if I can get, say, $<100$. | |
| Jan 6 at 0:20 | comment | added | domotorp | Nice! I wonder if the smallest $k$ is really so big, or if there is some simpler method giving a much smaller $k$. | |
| Jan 6 at 0:18 | vote | accept | domotorp | ||
| Jan 5 at 21:05 | comment | added | Zach Hunter | Note: inspecting this construction, one sees that you can avoid progressions of length $w(4,4,4,4,4)$ (the $5$-color van der Waerden number of a $4$-AP, which is fairly big (at least $>2254$, by combinatorics.org/ojs/index.php/eljc/article/view/2363)). | |
| Jan 5 at 20:47 | history | answered | Zach Hunter | CC BY-SA 4.0 |