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...
48 KB (6,174 words) - 05:29, 18 August 2024
two adjacent regions receive the same color. The five color theorem is implied by the stronger four color theorem, but is considerably easier to prove...
13 KB (1,905 words) - 21:29, 26 July 2024
Conjecture (section Four color theorem)
difficult mathematical problems". In mathematics, the four color theorem, or the four color map theorem, states that given any separation of a plane into...
25 KB (3,046 words) - 08:45, 12 June 2024
Graph coloring (redirect from Vertex color)
theories were developed to reduce the number of colors to four, until the four color theorem was finally proved in 1976 by Kenneth Appel and Wolfgang Haken...
67 KB (7,996 words) - 03:26, 15 August 2024
projects hope to shorten and simplify this proof. Another theorem of this type is the four color theorem whose computer generated proof is too long for a human...
34 KB (4,376 words) - 00:28, 9 July 2024
Kenneth Appel (section The four color theorem)
mathematics, the four-color theorem. They proved that any two-dimensional map, with certain limitations, can be filled in with four colors without any...
10 KB (1,102 words) - 23:37, 24 June 2024
Coq (software) (category Free theorem provers)
Benjamin Werner of INRIA used Coq to create a surveyable proof of the four color theorem, which was completed in 2002. Their work led to the development of...
17 KB (1,770 words) - 02:10, 5 July 2024
{\displaystyle 1\leq t\leq 6} . The conjecture is a generalization of the four-color theorem and is considered to be one of the most important and challenging...
19 KB (2,401 words) - 20:54, 27 March 2024
Snark (graph theory) (redirect from Snark theorem)
the four color theorem is that every snark is a non-planar graph. Research on snarks originated in Peter G. Tait's work on the four color theorem in 1880...
23 KB (2,707 words) - 07:38, 22 July 2024
Gerda Fritsch to show that Alfred Kempe's attempted proof of the four color theorem was incorrect. The Fritsch graph is one of only six graphs in which...
18 KB (2,021 words) - 09:02, 18 January 2024