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Thread View: alt.uu.math.misc
3 messages
3 total messages Started by McGill Sun, 08 Jun 1997 00:00
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#83
Author: McGill
Date: Sun, 08 Jun 1997 00:00
6 lines
1126 bytes
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
#84
Author: Rick Decker
Date: Sun, 08 Jun 1997 00:00
30 lines
1896 bytes
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
#85
Author: Steve Waldo
Date: Tue, 10 Jun 1997 00:00
14 lines
1576 bytes
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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