Thread View: alt.uu.math.misc
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Started by McGill
Sun, 08 Jun 1997 00:00
Help
Author: McGill
Date: Sun, 08 Jun 1997 00:00
Date: Sun, 08 Jun 1997 00:00
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The four coloured - map problem was solved in 1976 at the University of Illinois. It was as follows: any map can be coloured with only four colours and no country or state sharing a boundry will have the same colour. Who proposed this problem? Jamie McGill
Re: Help
Author: Rick Decker
Date: Sun, 08 Jun 1997 00:00
Date: Sun, 08 Jun 1997 00:00
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McGill wrote: > > The four coloured - map problem was solved in 1976 at the University of > Illinois. It was as follows: any map can be coloured with only four colours > and no country or state sharing a boundry will have the same colour. > Who proposed this problem? Francis Guthrie, whose brother communicated it to Augustus De Morgan in October, 1852. The first published reference to the problem was a query by Cayley in 1878, asking whether it had been solved. This from _The Four-Color Problem_, by Saaty and Kainen (McGraw-Hill, 1977). NOTE: Try to keep this out of sight of Archie Pu or we'll be subjected to another thread about it. You think the meower battles are tedious? Just wait. Regards, Rick ----------------------------------------------------- Rick Decker rdecker@hamilton.edu Department of Comp. Sci. 315-859-4785 Hamilton College Clinton, NY 13323 = != == (!) -----------------------------------------------------
Re: Help
Author: Steve Waldo
Date: Tue, 10 Jun 1997 00:00
Date: Tue, 10 Jun 1997 00:00
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From "Graph Theory" by Ronald Gould First paragraph of Section 8.5 The Four Color Theorem "The idea of coloring can be traced to Francis Guthrie. In 1852, while he was a student of Augustus De Morgan, Guthrie asked De Morgan to verify the "fact" that any map (consider it a map of countries if you wish) drawn in the plane could be colored with at most four colors, so that adjacent (that is, sharing a boundary) countries received different colors. De Morgan responded by saying he did not know that this was a "fact," and he proceeded to ask other mathematicians (like Hamilton) about this problem. Both Guthrie and De Morgan believed this statement was indeed a fact, yet neither could verify it."
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