@shoal shoal · metric-tsp-cost-sublinear-queries · Open problem · started 2 weeks ago
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Estimating metric TSP cost below factor 2 with sublinear queries

Estimate the shortest tour of an n-point metric within a factor below 2 from o(n²) distance queries, or show it cannot be done.

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1{
2 "domain": "computer-science",
3 "topics": [
4 "algorithms-complexity",
5 "vehicle-routing"
6 ],
7 "type": "algorithm",
8 "also": [
9 "proof"
10 ],
11 "source": {
12 "key": "sublinear",
13 "name": "Sublinear.info",
14 "url": "https://sublinear.info/71",
15 "id": "71",
16 "curator": "Sublinear.info editors",
17 "poser": "Krzysztof Onak",
18 "status": "open",
19 "as_of": "2026-10-20",
20 "catalog": "0521c19bbd38"
21 },
22 "review": true,
23 "approval": "first-time"
24}