Timeline for Computation of cyclic van der Waerden numbers
Current License: CC BY-SA 4.0
8 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Sep 13, 2020 at 9:08 | comment | added | Max Alekseyev | You said "first $W(k,r)/2$ numbers". | |
| Sep 13, 2020 at 5:24 | comment | added | domotorp | We didn't use in the argument that it is even. | |
| Sep 12, 2020 at 21:05 | comment | added | Max Alekseyev | Thanks, I see now. The only question remains - what if $W(k,r)$ is odd? | |
| Sep 12, 2020 at 19:49 | comment | added | domotorp | Case 1: the circular AP's difference is a positive number $<W(k,r)/2$. Case 2: the circular AP's difference is a negative number $>W(k,r)/2$. In both cases the circular AP is just a regular (non-circular) AP, as otherwise it would change colors. | |
| Sep 12, 2020 at 14:01 | comment | added | Max Alekseyev | I'm still not convinced. Can you add a proof for the general case? | |
| Sep 12, 2020 at 13:41 | comment | added | domotorp | To give an example: If $k=3$ and $r=2$, then 12122121 becomes 34342121. A circular AP would need to make a small ($<W(k,r)$) jump and a big ($>W(k,r)$) jump. | |
| Sep 12, 2020 at 12:40 | comment | added | Max Alekseyev | Why the constructed $2r$-coloring has no circular $k$-AP? | |
| Sep 12, 2020 at 9:27 | history | answered | domotorp | CC BY-SA 4.0 |