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May 15, 2012 at 16:17 comment added Samuel Reid This answer turned out to be very helpful for my research on packing problems (treat the barycenter of a polyhedra as a vertex of a simplicial complex and you get a packing). Thank you!
Mar 22, 2012 at 16:21 history edited David E Speyer CC BY-SA 3.0
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Mar 22, 2012 at 16:13 history edited David E Speyer CC BY-SA 3.0
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Mar 22, 2012 at 11:37 comment added Raghav Kulkarni This answer is helpful. The counter-examples you point to are interesting. And you are right that the question does not end here as for the small application of this that I have in mind the upper bound that you propose (if true) would work as good. So I would be interested in proving/disproving the $e^{O(\log v \cdot \log f)}$ bound.
Mar 22, 2012 at 11:20 vote accept Raghav Kulkarni
Mar 21, 2012 at 18:05 history edited David E Speyer CC BY-SA 3.0
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Mar 21, 2012 at 18:00 history answered David E Speyer CC BY-SA 3.0