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What does the 4 color theorem state?
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. This problem is sometimes also called Guthrie’s problem after F. Guthrie, who first conjectured the theorem in 1852.
What are the four colours?
There are four psychological primary colours – blue, green, yellow and red.
How many colors are true?
True color is the specification of the color of a pixel on a display screen using a 24-bit value, which allows the possibility of up to 16,777,216 possible colors. Many displays today support only an 8-bit color value, allowing up to 256 possible colors.
What is wrong with the four color theorem?
The four color theorem has been notorious for attracting a large number of false proofs and disproofs in its long history. At first, The New York Times refused as a matter of policy to report on the Appel–Haken proof, fearing that the proof would be shown false like the ones before it (Wilson 2014).
Is the four color theorem equivalent to Lie algebras and Vassiliev invariants?
Dror Bar-Natan gave a statement concerning Lie algebras and Vassiliev invariants which is equivalent to the four color theorem. Despite the motivation from coloring political maps of countries, the theorem is not of particular interest to cartographers.
What if the four-color conjecture is false?
If the four-color conjecture were false, there would be at least one map with the smallest possible number of regions that requires five colors. The proof showed that such a minimal counterexample cannot exist, through the use of two technical concepts:
When was the four-color problem solved?
In 1943, Hugo Hadwiger formulated the Hadwiger conjecture, a far-reaching generalization of the four-color problem that still remains unsolved. During the 1960s and 1970s, German mathematician Heinrich Heesch developed methods of using computers to search for a proof.