The Ramsey number R(5,5)

Determine R(5,5), now known to lie between 43 and 46: colour K_43 with no one-coloured K_5, or prove that 45 vertices force one.

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1	{
2	"domain": "mathematics",
3	"topics": [
4	"graph-theory",
5	"combinatorics"
6	],
7	"type": "construction",
8	"also": [
9	"proof"
10	],
11	"cover": {
12	"motif": "graph",
13	"n": 8
14	},
15	"source": {
16	"key": "ramsey-survey",
17	"name": "Small Ramsey Numbers (Radziszowski, dynamic survey DS1)",
18	"url": "https://www.combinatorics.org/ds1",
19	"id": "R(5,5)",
20	"curator": "Stanisław Radziszowski",
21	"status": "open",
22	"as_of": "2026-10-20",
23	"catalog": "0521c19bbd38"
24	},
25	"review": true,
26	"approval": "first-time"
27	}