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Sep 2, 2016 at 5:36 vote accept Tom Solberg
Sep 1, 2016 at 15:14 answer added fedja timeline score: 9
Sep 1, 2016 at 11:57 comment added usul Did you check, or is there an obstruction to checking, that picking your subset at random usually works?
Sep 1, 2016 at 8:13 comment added Tom Solberg @DouglasZare oh, I see -- well, given that the length of the shortest path scales proportionally to $\sqrt{n}$, I'd like a path whose length is less than $c\sqrt{n}$, for some value of $c$. Does that make sense?
Sep 1, 2016 at 8:00 comment added Douglas Zare Yes, it was clear that you wanted it to be short. How are you measuring whether a path of a given shortness is good?
Sep 1, 2016 at 7:55 comment added Tom Solberg I want the path to have a short Euclidean length. Presumably I'd need to search all $n!$ permutations to get the shortest path, so I'd just like the Euclidean length to be "not too much longer" in some probabilistic sense. (made some minor edits to the original question to try to clarify this)
Sep 1, 2016 at 7:48 history edited Tom Solberg CC BY-SA 3.0
added 66 characters in body
Sep 1, 2016 at 7:47 comment added Douglas Zare What is your measure of how good a path is?
Sep 1, 2016 at 7:38 history asked Tom Solberg CC BY-SA 3.0