Computer aided proof of the four color theorem by Neil Robertson, Daniel P. Sanders, Paul Seymour and Robin Thomas.
|
www.math.gatech.edu/~thomas/FC/fourcolor.html
www.math.gatech.edu/~thomas/FC/fourcolor.html
|
|
|
A computer-checked proof of the Four Colour Theorem; Georges Gonthier; Microsoft Research Cambridge; This report gives an account of a successful formalization of the proof of the Four; ... The Four Colour Theorem is famous for being the first long-standing mathematical problem to be resolved using a computer program.
|
research.microsoft.com/en-us/um/people/gonthier/4colpro...
research.microsoft.com/en-us/um/people/gonthier/4colproof.pdf
|
|
|
|
The Four Colour Theorem returned to being the Four Colour Conjecture in 1890. Percy John Heawood, a lecturer at Durham England, published a paper called Map colouring theorem. In it he states that his aim is...
|
www-history.mcs.st-and.ac.uk/HistTopics/The_four_colour...
www-history.mcs.st-and.ac.uk/HistTopics/The_four_colour_theorem.html
|
|
|
|
The Four Color Theorem asserts that every planar graph - and therefore every "map" on the plane or sphere - no matter how large or complex, is 4-colorable. Despite the seeming simplicity of this proposition, it was only proven in 1976, and then only with the aid of computers.
|
www.mathpages.com/home/kmath266/kmath266.htm
|
|
|
An equivalent combinatorial interpretation is Theorem 3 [Four Colour Theorem] Every loopless planar graph admits a vertex-colouring with at most four different colours. This theorem was proved with the aid of a computer in 1976. The proof shows that if aprox.
|
www.faqs.org/faqs/sci-math-faq/fourcolour/
www.faqs.org/faqs/sci-math-faq/fourcolour/
|
|
If nobody could check the proof, how could we ever know whether it was right or wrong? So not everybody is convinced that the four-colour theorem has really been proved.
|
plus.maths.org/issue10/features/proof4/index.html
plus.maths.org/issue10/features/proof4/index.html
|
|
The Four Colour Theorem, proposed by Francis Guthrie in 1852, states that any four colours are the minimum needed to fill in a flat map without any two regions of the same colour touching. ... A proof of the theorem was announced by two US mathematicians, Kenneth Appel and Wolfgang Haken, in 1976. But a crucial portion...
|
www.newscientist.com/article/dn7286
|
|
From the Math Forum Internet Mathematics Library. ... An article presenting a proof of the four color theorem that uses group theory and Steiner systems, illustrated using a map of Madhya Pradesh and adjoining states in India. Introduction; Map Colouring; Steiner Systems;
|
mathforum.org/library/view/16622.html
|
|
The four-color theorem states that any map in a plane can be colored using four-colors in such a way that regions sharing a common boundary (other than a ...
|
mathworld.wolfram.com/Four-ColorTheorem.html
mathworld.wolfram.com/Four-ColorTheorem.html
|
|
