Solving 4 colors problem with Python.
This video is about solving the 4 colours problem in Python for the USA map. The Four Color Theorem, also known as the Four Color Problem, is a classic problem in the field of graph theory and mathematics. The problem can be stated as follows: Given any separation of a plane into contiguous regions, such as countries on a map, the regions can be coloured using at most four colours in such a way that no two adjacent regions have the same colour.
The Four Color Theorem was first conjectured in the 19th century and became one of the most famous problems in graph theory. The theorem was finally proven by Kenneth Appel and Wolfgang Haken in 1976. The proof was controversial at the time because it involved computer-assisted verification, and the sheer complexity of the cases examined made it difficult for humans to verify the proof without the aid of computers.
The essence of the proof involves reducing the problem to a finite set of cases and then using a computer to check each case individually. While the proof is accepted within the mathematical community, the use of computer assistance in the proof raised some debates about the nature of mathematical proofs and the reliance on computational methods.
Despite these debates, the Four Color Theorem is now considered a settled and proven result in mathematics. It has applications in various fields, including cartography and scheduling, where minimizing the number of colours can be important.
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