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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Mathematics & Logic
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.
Team Humans Club. (2026). Problem WS01273: We haven't determined whether there's an efficient way to solve every instance of the traveling salesman problem exactly, rather than through approximation.. World Solve. Retrieved 20 Jul 2026, from https://worldsolve.org/index.php?id=1273