four color theorem oor Spaans
four color theorem
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teorema de los cuatro colores
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statement in mathematics
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teorema en teoría de grafos
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By the four color theorem, every planar graph can be 4-colored.
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In 1976, the four color theorem was the first major theorem to be verified using a computer program.
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The four-color theorem, by contrast, seems to be a dead end.
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That is: Four Color Theorem (Appel and Haken): Any planar graph is 4-colorable.
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Would they have developed the prime number theorem; the min–max theorem; the four-color theorem?
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The shortest known proof of the four color theorem as of 2011 still has over 600 cases.
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The four-color theorem states that at most four colors are needed to color any plane map.
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Does the result contradict the four-color theorem?
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In 1976, Wolfgang Haken and Kenneth Appel used a computer to prove the four color theorem.
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The four color theorem is equivalent to the assertion that every planar cubic bridgeless graph admits a Tait coloring.
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Dual Maps and the Four Color Theorem Consider a map M, say the map M in Fig. 8-26(a).
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He also spent a great deal of his later years on a fruitless effort to solve the Four Color Theorem.
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Although flawed, Kempe's original purported proof of the four color theorem provided some of the basic tools later used to prove it.
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So it suffices to prove the four color theorem for triangulated graphs to prove it for all planar graphs, and without loss of generality we assume the graph is triangulated.
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He was one of the pioneers in graph theory and contributed significantly to the proof of the Heawood conjecture (now the Ringel-Youngs theorem), a mathematical problem closely linked with the Four Color Theorem.
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He goes on to wonder if Houseman was familiar with the four-color map theorem.
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Ivars Peterson, The Mathematical Tourist, Freeman, 1988, ISBN 0-7167-1953-3. pp. 4 "A few complain that the computer program can't be verified properly", (in reference to the Haken–Apple proof of the Four Color Theorem).
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In the following century, a vast amount of work and theories were developed to reduce the number of colors to four, until the four color theorem was finally proved in 1976 by Kenneth Appel and Wolfgang Haken.
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Kenneth Ira Appel (October 8, 1932 – April 19, 2013) was an American mathematician who in 1976, with colleague Wolfgang Haken at the University of Illinois at Urbana–Champaign, solved one of the most famous problems in mathematics, the four-color theorem.
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A good example of this was the machine-aided proof of the four color theorem, which was very controversial as the first claimed mathematical proof which was essentially impossible to verify by humans due to the enormous size of the program's calculation (such proofs are called non-surveyable proofs).
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Arguments that computer-assisted proofs are subject to errors in their source programs, compilers, and hardware can be resolved by providing a formal proof of correctness for the computer program (an approach which was successfully applied to the four-color theorem in 2005) as well as replicating the result using different programming languages, different compilers, and different computer hardware.
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Four color theorem - Wikipedia, the free encyclopedia
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Free Coloring puzzle is a free-to-play puzzle game according to Four color theorem!
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Four color theorem - Simple English Wikipedia, the free encyclopedia
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The shortest known proof of the four color theorem as of 2011[update] still has over 600 cases.
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36 sinne gevind in 19 ms. Hulle kom uit baie bronne en word nie nagegaan nie.