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Dec 2, 2016 at 12:00 comment added domotorp @Yaakov: Not at all, my motivation was that this paper uses only this corollary of the four color theorem, and so I wondered how difficult it is: arxiv.org/abs/1512.01953
Dec 2, 2016 at 11:15 comment added Yaakov Baruch Interesting. Well, the devil is in the "suitable" of course. Given coloring A for ONE triangle, there are 4 non-uniform colorings B (out of 8) such that AB would give a different color to each vertex. So "suitable" would mean a second coloring where for each triangle the coloring comes from one of those 4 possibilities. I have have no idea of course how to find globally this second coloring. But I thought something like that might have been the inspiration for your question.
Dec 2, 2016 at 8:32 comment added domotorp @Yaakov: What would be the use of triangle-free? I was thinking about something related earlier, but my hopes were crushed by this answer: mathoverflow.net/questions/255409/…
Dec 2, 2016 at 7:44 comment added Yaakov Baruch Perhaps it's silly to ask, but conversely, could there be any hope to prove the FCT by finding and merging 2 suitable such triangle-free colorings?
Dec 2, 2016 at 0:28 vote accept domotorp
Dec 1, 2016 at 22:06 answer added Gjergji Zaimi timeline score: 7
Dec 1, 2016 at 7:15 answer added Brendan McKay timeline score: 5
Nov 30, 2016 at 16:31 history asked domotorp CC BY-SA 3.0