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Questions about problems that entail selecting the best element from some set of available alternatives, and methods to solve them.

23 votes
3 answers
2k views

Why are NP-complete problems so different in terms of their approximation?

One thing that I've noticed is that while many problems are NP-complete, when extended to optimization problems, some are far more difficult to approximate than others. A good example is TSP. … Although all kinds of TSP are NP-complete, the corresponding optimization problems get easier and easier to approximate with successive simplifications. …
GregRos's user avatar
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