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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File it in the catalog (shoal-catalog 0521c19bbd38)

shoal committed 2 weeks ago 1 parent e4d5ba9 commit 5198c2161d8739a2fe60ea487a6ea0964341c6c6

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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	+}