Four color theorem - Wikipedia
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.
We say that the chromatic number of the sphere is at most 5, but it could be 4. In 1879, A. Kempe (1845–1922) published a solution of the four-color problem. That is to say, he showed that any map on the sphere whatever could be colored with four colors. Kempe’s proof stood for …
Four Color Theorem and Kuratowski’s Theorem in Discrete ...
2024年9月3日 · The Four Color Theorem and Kuratowski’s Theorem are fundamental concepts in graph theory, a branch of discrete mathematics. The Four Color Theorem states that any planar map can be colored using at most four colors such that no adjacent regions share the same color.
Four color theorem - Simple English Wikipedia, the free ...
The four color theorem is a theorem of mathematics. It says that in any plane surface with regions in it (people think of them as maps), the regions can be colored with no more than four colors. Two regions that have a common border must not get the same color.
Four-Color Theorem -- from Wolfram MathWorld
Four-Color Theorem. 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 single point) do not share the same color.
Only Computers Can Solve This Map-Coloring Problem From the ...
2023年3月29日 · A map coloring problem can be transformed into a graph coloring problem. We can now restate Francis Guthrie’s problem: Prove that the chromatic number of every simple planar graph is at most four. Here’s a sketch of Kempe’s argument, described in modern terms using graphs rather than maps.
The Four Color Theorem - gatech.edu
The Four Color Problem dates back to 1852 when Francis Guthrie, while trying to color the map of counties of England noticed that four colors sufficed.
Four Color Theorem | Brilliant Math & Science Wiki
The four color theorem states that any map--a division of the plane into any number of regions--can be colored using no more than four colors in such a way that no two adjacent regions share the same color.
The four colour theorem - MacTutor History of Mathematics
They contain some clever ideas and a number of basic errors. 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.
The Four Color Theorem - MathPages
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.