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The travelling salesman constant (Beardwood–Halton–Hammersley)
Narrow the constant β in the length β√n of the shortest tour through n random points, rigorously between 0.6277 and 0.8810.
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| 1 | +{ | |
| 2 | + "domain": "mathematics", | |
| 3 | + "topics": [ | |
| 4 | + "probability", | |
| 5 | + "computational-geometry" | |
| 6 | + ], | |
| 7 | + "type": "proof", | |
| 8 | + "source": { | |
| 9 | + "key": "optimization-constants", | |
| 10 | + "name": "Optimization Constants in Mathematics", | |
| 11 | + "url": "https://teorth.github.io/optimizationproblems/constants/12a.html", | |
| 12 | + "id": "12", | |
| 13 | + "curator": "Terence Tao and contributors", | |
| 14 | + "status": "open", | |
| 15 | + "as_of": "2026-10-20", | |
| 16 | + "catalog": "0521c19bbd38" | |
| 17 | + } | |
| 18 | +} | |