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The four color theorem has been proved


Publisher
John Wiley and Sons
Year
1977
Tongue
English
Weight
26 KB
Volume
1
Category
Article
ISSN
0364-9024

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โœฆ Synopsis


On the 21st of June 1976, which was the 48th birthday of Wolfgang Haken, he and Kenneth Appel (with the aid of John Koch) completed their proof of the Four Color Theorem. In recognition of their momentous achievement, the Journal ofGruph Theory presents two articles (by Haken and by Frank Bernhart) on this famous problem, preceded by a short poem by the mysterious Blanche Descartes.

The foremost currently unsolved problem in graph theory is, in our considered opinion, the Reconstruction Conjecture.


๐Ÿ“œ SIMILAR VOLUMES


A digest of the four color theorem
โœ Frank R. Bernhart ๐Ÿ“‚ Article ๐Ÿ“… 1977 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 949 KB

## Abstract A major event in 1976 was the announcement that the Four Color Conjecture (4CC) had at long last become the Four Color Theorem (4CT). The proof by W. Haken, K. Appel, and J. Koch is published in the __Illinois Journal of Mathematics__, and their twoโ€part article outlines the nature and

Signed Diagonal Flips and the Four Color
โœ Shalom Eliahou ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 153 KB

We introduce a signed version of the diagonal flip operation. We then formulate the conjecture that any two triangulations of a given polygon may be transformed into one another by a signable sequence of diagonal flips. Finally, we show that this conjecture, if true, would imply the four color theor

On Four Colored Sets with Nondecreasing
โœ David J. Grynkiewicz ๐Ÿ“‚ Article ๐Ÿ“… 2002 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 197 KB

A set X; with a coloring D: X ! Z m ; is zero-sum if P x2X Dรฐxรž ยผ 0: Let f รฐm; rรž (let f zs รฐm; 2rรž) be the least N such that for every coloring of 1; . . . ; N with r colors (with elements from r disjoint copies of Z m ) there exist monochromatic (zero-sum) m-element subsets B 1 and B 2 ; not neces