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Nov 10, 2014 at 18:49 history edited Ricardo Andrade CC BY-SA 3.0
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Nov 10, 2014 at 18:47 history rollback Ricardo Andrade
Rollback to Revision 3 - changed the tags back to a sensible choice
Nov 5, 2014 at 18:50 history rollback janak
Rollback to Revision 2
Nov 4, 2014 at 13:44 review Reopen votes
Nov 4, 2014 at 14:31
Nov 4, 2014 at 13:28 history edited janak CC BY-SA 3.0
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Nov 4, 2014 at 13:27 comment added janak Thanks. I understood the point. I reconstructed my question.
Nov 4, 2014 at 13:20 history edited janak CC BY-SA 3.0
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Nov 4, 2014 at 0:12 history edited Ricardo Andrade CC BY-SA 3.0
replaced inappropriate tags
Nov 3, 2014 at 20:24 history closed Andrés E. Caicedo
GH from MO
Ricardo Andrade
Alexandre Eremenko
Steven Sam
Needs details or clarity
Nov 3, 2014 at 20:08 comment added Alex Degtyarev Not good: if you don't require convexity or such, minimal area tends to $0$: just take a polygonal neighborhood of a tree. The reason why I keep asking is that, if you give a right definition, the answer would probably be obvious (at least, for a finite set).
Nov 3, 2014 at 19:49 history edited janak
edited tags
Nov 3, 2014 at 19:24 comment added janak It is a polygon which embraces all the points, but has minimal area.
Nov 3, 2014 at 19:12 comment added Alex Degtyarev OK, but what's the definition? Something that would make the red curve better than any other curve?
Nov 3, 2014 at 19:07 comment added janak Suppose we plot the finite set of points on X-Y plane and suppose these points form a cluster. Then by boundary points of the set I mean the boundary point of this cluster of points. That is if we connect these boundary points with piecewise straight line then this graph will enclose all the other points. For example, i.sstatic.net/hwxSW.jpg here points on the red curve are the boundary points.
Nov 3, 2014 at 17:47 comment added Alex Degtyarev What is the boundary of a finite set?
Nov 3, 2014 at 17:46 review Close votes
Nov 3, 2014 at 20:24
Nov 3, 2014 at 17:36 answer added Joseph O'Rourke timeline score: 2
Nov 3, 2014 at 17:36 answer added Igor Rivin timeline score: 2
Nov 3, 2014 at 17:24 review First posts
Nov 3, 2014 at 17:52
Nov 3, 2014 at 17:23 history asked janak CC BY-SA 3.0