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I am pretty sure that it is meant to be solved on a compact, simple connected subset of |R^2, with Euclidean metric.
by yk 14y ago
I am pretty sure that it is meant to be solved on a compact, simple connected subset of |R^2, with Euclidean metric.
- S4M 14y agoCareful with that. If the frontier of that subset is not far enough from the points, the problem will not be solvable.
- yk 14y agoAnd probably the word 'open' is also missing, then I can always find an embedding such that there is enough room :)
- kaoD 14y agoI'm pretty sure I was just joking.
- yk 14y agoNever meant to imply otherwise. But you are raising a good point, if one thinks about the general problem then it is not really straightforward to embed the points in |R^n instead of (for example) a torus.