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...

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...

difficult mathematical problems". In mathematics, the four color theorem, or the four color map theorem, states that given any separation of a plane into...

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...

mathematics, the four-color theorem. They proved that any two-dimensional map, with certain limitations, can be filled in with four colors without any...

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...

In mathematics, a theorem is a statement that has been proved, or can be proved. The proof of a theorem is a logical argument that uses the inference...

1≤t≤6{\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...

prove theorems and to carry out calculations that are too long for any human or team of humans to check; the first proof of the four color theorem is an...

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...