4 Color Map

4 Color Map. The Four Color Map Theorem The Four Color Map Theorem Explained Aman Sir YouTube [Imagine a map with 6 regions, where each region borders at least 3 others] Solution: We can represent this map as a planar graph where each region is a vertex, and shared borders are edges. 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

Guthrie, who first conjectured the theorem in 1852 Problem: Given the following map of neighboring regions, color it using the minimum number of colors such that no adjacent regions have the same color

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Adjacent means that two regions share a common boundary of non-zero length (i. To be able to correctly solve the problem, it is necessary to clarify some aspects: First, all points that belong to three or more countries must be ignored. Three colours are not enough, since one can draw a map of four regions with each region contacting the.

Four color theorem hires stock photography and images Alamy. 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 that no two adjacent regions (i.e., with a common boundary segment) are of the same colour 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

Four color theorem Wikiwand. This theorem states that no more than four colors are required to color the regions given any separation of a plane into contiguous regions, producing a figure called a map, no more than four colors are required to color the regions of the map so that no two adjacent regions have the same color.