We haven't determined whether there's an efficient way to solve every instance of the traveling salesman problem exactly, rather than through approximation.
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Global / Unspecified, Global
Finding the shortest possible route through many locations becomes exponentially harder as the number of locations grows, and no efficient exact solution is known for all cases. This unresolved question sits at the heart of computational optimization theory.
Citation ID: WS01273
Title: We haven't determined whether there's an efficient way to solve every instance of the traveling salesman problem exactly, rather than through approximation.
URL: https://www.worldsolve.org/index.php?api=problem&id=1273