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The Four Color Map Problem ... The proof required unprecedented use of computer time and takes up an entire book: Appel and Haken, Every Planar Map is Four Colorable, Contemporary Mathematics, v. 98, American Mathematical Society, 1989, ISBN 0-8218-5103-9. A very readable summary of the history and proof is in Appel and...
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www.math.utah.edu/~pa/math/4color.html
www.math.utah.edu/~pa/math/4color.html
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This page and its attachments are organized around a talk first given at the Mathematics Department of Vanderbilt University on May 2, 1997. I'll describe the multivariate spline problem, the four color map problem, the connections, and a proof of a simple spline problem by four color map techniques.
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www.math.utah.edu/~alfeld/talks/S13/4CMP.html
www.math.utah.edu/~alfeld/talks/S13/4CMP.html
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When I was around a dozen years old I became enamored of the four-color map problem. I'm not sure how I discovered it: I remember a science-fiction story in which the problem was described. As I recall, the story's narrator discovers a solution that he then could no longer remember.
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mappa.mundi.net/locus/locus_014/
mappa.mundi.net/locus/locus_014/
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Build inexpensive solar panels and power generators at your home and save up to 90% on your power bill! Dear G.: I don't know that I would call 1976 "recently," but yes, the four-color map problem was solved (more or less) using...
http://www.straightdope.com/columns/read/117/did-they-f...
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Date: Tue, 6 Dec 1994 07:18:51 -0500 From: Timothy Gorry Subject: Four color Map Problem Hi. My name is Tim and I'm a student at John W. Dodd, Jr. High in Freeport, NY and I'm working on a math project. Other than trial and error is there any scientific or mathematical way to solve the Four Color Problem?
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mathforum.org/library/drmath/view/57231.html
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Four-Color Map Problem Other than trial and error is there any scientific or mathematical way to solve the Four Color Problem? How about even explaining it in layman's terms?
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mathforum.org/library/drmath/sets/select/dm_4-color.htm...
mathforum.org/library/drmath/sets/select/dm_4-color.html
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THE FOUR COLOR MAP PROBLEM ... It took over a hundred years for mathematicians to prove that four colors were sufficient, no matter how complicated the map. This was verified or proved, as we say in mathematics, by K. Appel and W. Haken in 1976 making substantial use of the computer to classify thousands of configurations.
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math.ucalgary.ca/~laflamme/colorful/4colors.html
math.ucalgary.ca/~laflamme/colorful/4colors.html
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The Four Color Problem was famous and unsolved for many years. Has it been ... The basic rule for coloring a map is that no two regions that share a boundary can be the same color. (The map would look ambiguous from a distance.) It is okay for two regions that only meet at a single point to be colored the same color, however.
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wwwc3.lanl.gov/mega-math/gloss/math/4ct.html
wwwc3.lanl.gov/mega-math/gloss/math/4ct.html
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Appel, K. and Haken, W. "The Solution of the Four-Color Map Problem." Scientific American, 237: 108-121 (1977). ... Saaty, T. L. and Kainen, P. C. The Four-Color Problem: Assaults and Conquest. New York: Dover, 1986.
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www.daviddarling.info/encyclopedia/F/four-color_problem...
www.daviddarling.info/encyclopedia/F/four-color_problem.html
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