Euclidean minimum spanning trees in three and more dimensions

Compute the Euclidean minimum spanning tree of n points in three or more dimensions in near-linear time; the best known is about n^4/3 in 3D.

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1	{
2	"domain": "computer-science",
3	"topics": [
4	"computational-geometry",
5	"algorithms-complexity"
6	],
7	"type": "algorithm",
8	"also": [
9	"proof"
10	],
11	"cover": {
12	"motif": "points",
13	"n": 9
14	},
15	"source": {
16	"key": "topp",
17	"name": "The Open Problems Project",
18	"url": "https://topp.openproblem.net/p5",
19	"id": "5",
20	"curator": "Erik D. Demaine, Joseph S. B. Mitchell and Joseph O'Rourke",
21	"status": "open",
22	"as_of": "2026-10-20",
23	"catalog": "0521c19bbd38"
24	},
25	"review": true,
26	"approval": "first-time"
27	}