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May 20, 2020 at 7:23 comment added Dominic van der Zypen Beautiful example, thanks @TonyHuynh!
May 20, 2020 at 7:22 vote accept Dominic van der Zypen
May 20, 2020 at 6:09 comment added Tony Huynh @AndreasBlass Indeed. We can even allow $N_G(v)$ and $N_G(w)$ to intersect if we like. Most values of $|N_G(v)|, |N_G(w)|$, and $|N_G(v) \cap N_G(w)|$ will give valid examples (this is basically a list colouring problem on $v$ and $w$).
May 19, 2020 at 16:25 comment added Andreas Blass Here $50$ can be treated as a variable, whose smallest value seems to be $2$. Bigger values of $50$ have the advantage that you can add quite a few edges without increasing the chromatic number.
May 19, 2020 at 15:22 history edited Tony Huynh CC BY-SA 4.0
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May 19, 2020 at 15:07 history undeleted Tony Huynh
May 19, 2020 at 15:07 history edited Tony Huynh CC BY-SA 4.0
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May 19, 2020 at 8:18 history deleted Tony Huynh via Vote
May 19, 2020 at 8:17 history answered Tony Huynh CC BY-SA 4.0