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Oct 12, 2017 at 6:17 vote accept Dominic van der Zypen
Oct 11, 2017 at 15:24 answer added John Machacek timeline score: 3
Oct 11, 2017 at 14:50 comment added Peter Taylor It can contain an odd cycle. Consider a poset which is fully characterised by two chains: $a < b < c$ and $a < d < e < c$. Then $(P, E_P)$ is a single cycle of length 5.
Oct 11, 2017 at 14:36 history edited Dominic van der Zypen CC BY-SA 3.0
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Oct 11, 2017 at 14:35 comment added Dominic van der Zypen Right @PeterTaylor - it can't...! If it cannot contain an odd cycle, then the answer is clear. Sorry for my mistake
Oct 11, 2017 at 14:16 comment added Peter Taylor Your "direct neighbour graph" looks like the transitive reduction, but I'm not sure how it could contain a 3-clique.
Oct 11, 2017 at 14:05 history asked Dominic van der Zypen CC BY-SA 3.0