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Four color theorem

Four color theorem

Four color theorem was introduced by Francis Guthrie when he tried coloring the map of England. Later, Guthrie speculated the theorem to DeMorgan and it was first printed in 1878 with reference of Cayley.

The basic rule of the theorem is no more than four colors are required to color the regions of the map in such a way that any adjacent region should not share same color. Two regions are called adjacent if they share a common boundary. But same color can be applied when two regions meet at a single point. This theorem concerned with the concept that any map in the plane can be colored by using any four colors.

Initially many Mathematicians was against this theorem. One of the great Mathematician Herman Minkowski, told that the 4-Color Conjecture had not been settled because only third-rate mathematicians had concerned themselves with it. "I believe I can prove it," he declared. After a long period, he admitted, "Heaven is angered by my arrogance; my proof is also defective."

Despite of all this criticism, this Four color theorem was first proved and published by Kenneth Appel and Wolfgang Haken in 1976. This was the major proof of the theorem using computer, because coloring a map manually became more tedious and complicated. Many mathematicians have accepted the theorem to be true.

This theorem is proved and used in many familiar maps that we see today.

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Daily Maths Topic Today - four color theorem.

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