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In mathematics, the four color theorem, or the four color map theorem, states that no more than four colors are required to color the regions of any map so that no two adjacent regions have the same color.
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"four colour theorem" from www.transum.org
"The Four Colour Theorem states that it will take no more than four different colours to colour a map or similar diagram so that no two regions sharing a border ...
"four colour theorem" from simple.wikipedia.org
... four colour theorem (PDF), unpublished; Hadwiger, Hugo (1943), "Über eine ... Four-Colour Theorem", J. Combin. Theory Ser. B, vol. 70, no. 1, pp. 2–44 ...
Feb 1, 2011 · Tait initiated the study of snarks in 1880, when he proved that the four colour theorem was equivalent to the statement that no snark is planar.
USA 60, 438-445, 1968. Robertson, N.; Sanders, D. P.; Seymour, P. D.; and Thomas, R. "A New Proof of the Four Colour Theorem.
The Four Colour Theorem was the first major theorem to be proved using a computer, having a proof that could not be verified directly by other mathematicians.
"four colour theorem" from researchoutreach.org
Nov 8, 2023 · Kenneth Appel and Wolfgang Haken discovered the first valid proof for the four colour theorem. Kenneth Appel and Wolfgang Haken. Tilley ...
Sanders, P. Seymour, and. R. Thomas, The four-colour theorem, J. Combina- torial Theory, Series B 70 (1997) ...
The four-colour theorem, that every loopless planar graph admits a vertex-colouring with at most four different colours, was proved in 1976 by Appel and ...