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Apr 13, 2017 at 12:57 history edited CommunityBot
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Jul 25, 2011 at 15:49 comment added Camilo Sarmiento I just realized this bijection is actually older. For 3-dimensional convex polytopes it's Steinitz theorem (thanks again to Joseph for the reference).
Jul 25, 2011 at 15:43 vote accept Camilo Sarmiento
Jul 25, 2011 at 14:44 comment added Camilo Sarmiento I was also thinking this should bring no simplification at all, since it would be difficult to impose the (global) condition that the simplicial complex be a polytope while trying to enumerate. However, last week I heard that there are some ways to enumerate planar maps by considering a bijection to an appropriately defined set of trees, which should be easier to enumerate. See math.u-psud.fr/~jflegall/Goteborg3.pdf and books.google.de/… .
Jul 23, 2011 at 0:57 answer added Joseph O'Rourke timeline score: 5
Jul 22, 2011 at 16:41 comment added André Henriques "...the condition that the simplicial complex be a convex polytope may simplify the situation a bit": unlikely.
Jul 22, 2011 at 16:15 history edited Camilo Sarmiento CC BY-SA 3.0
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Jul 22, 2011 at 15:53 history asked Camilo Sarmiento CC BY-SA 3.0