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Mar 18, 2015 at 17:17 comment added Ramiro de la Vega You may want to take a look at "Transversal Theory: An account of some aspects of combinatorial mathematics" by L. Mirsky. The whole book is about this kind of problems. Perhaps for the application you have in mind (and didn´t tell us about) there is such a $\varphi$.
Mar 18, 2015 at 11:46 comment added user62017 Thanks Tom! - Apparently because there are easy examples giving a negative answer...
Mar 18, 2015 at 8:33 comment added Tom De Medts I wonder why this question got several downvotes. I upvoted.
Mar 18, 2015 at 6:59 review Close votes
Mar 18, 2015 at 11:31
Mar 18, 2015 at 6:50 vote accept CommunityBot
Sep 2, 2015 at 16:36
Mar 18, 2015 at 6:41 answer added Dominic van der Zypen timeline score: 0
Mar 18, 2015 at 6:40 answer added Noah Schweber timeline score: 1
Mar 18, 2015 at 6:34 history asked user62017 CC BY-SA 3.0