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 …

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.

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.

Jul 23, 2025 · 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. This has applications in map coloring, …

This page gives a brief summary of a new proof of the Four Color Theorem and a four-coloring algorithm found by Neil Robertson, Daniel P. Sanders, Paul Seymour and Robin Thomas.

Four-colour map problem, problem in topology, originally posed in the early 1850s and not solved until 1976, that required finding the minimum number of different colours required to colour a map such …

The Four Color Theorem asserts that any map can have its faces colored with at most four different colors such that no two faces that share an edge are the same color.

Jul 2, 2025 · The four-color theorem, a legendary puzzle in mathematics, was first proposed by British mathematician Francis Guthrie in 1852. Who would have thought that this simple conjecture would …

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 …

How many colors do you need this time? ... You could use four different colors, or you could make do with just three: But you couldn't color this pattern with just two colors. Can you see why? Let's try …