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Apr 19, 2019 at 6:53 comment added Wolfgang Such a graph would also yield a positive answer to this question of yours mathoverflow.net/questions/290435/… (same question of existence, with a weaker condition), so better stay with the other one first. BTW I would intuitively think that both are equivalent, but that might be a different question!
Apr 19, 2019 at 6:16 history edited Dominic van der Zypen CC BY-SA 4.0
excluded non-complete graphs
Apr 19, 2019 at 6:15 comment added Dominic van der Zypen Thanks - will exclude this in the question!
Apr 18, 2019 at 22:02 comment added Ilya Bogdanov A complete graph works vacuously.
Apr 18, 2019 at 16:07 history asked Dominic van der Zypen CC BY-SA 4.0