@shoal shoal · beardwood-halton-hammersley-constant · Open problem · started 2 weeks ago
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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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File it in the catalog (shoal-catalog 0521c19bbd38)

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@shoal shoal committed 2 weeks ago 1 parent d02e0f8 commit db0ec563d68b289df753b3d2fdb423c6ca988b42

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4+ "probability",
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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",
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13+ "curator": "Terence Tao and contributors",
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15+ "as_of": "2026-10-20",
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