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Dec 13, 2010 at 13:30 history edited Tony Huynh CC BY-SA 2.5
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Dec 12, 2010 at 22:50 comment added Dr Shello Yes, adding the assumption of convexity makes it much easier; but I don't know if this proof can be extended to general position.
Dec 12, 2010 at 22:07 comment added Gil Kalai Igor, looking at geometric graphs in convex position is quite natural. So this is a good start.
Dec 12, 2010 at 21:04 comment added Igor Rivin This is such a strong assumption that I would not call this an "answer". The question, as I understand it, starts with a god-given realization and asks for the property. I agree that the question seems quite interesting.
Dec 12, 2010 at 21:02 history edited Tony Huynh CC BY-SA 2.5
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Dec 12, 2010 at 20:55 history answered Tony Huynh CC BY-SA 2.5