The three colour problem

Resonance ◽  
1999 ◽  
Vol 4 (2) ◽  
pp. 76-81
Author(s):  
Dinoj Surendran
Keyword(s):  
Colour Problem

Two Isomorphs of the Four-Colour Problem

1967 ◽  
Vol 19 ◽  
pp. 1084-1091 ◽  
Author(s):  
J. L. Synge
Keyword(s):  
Complex Plane ◽  
Incidence Matrix ◽  
Graphical Representation ◽  
Roots Of Unity ◽  
Colour Problem ◽  
The Face

It is known that the four-colour problem for the faces of a map on a sphere is isomorphic with the four-colour problem for the vertices of its dual, and the problem is here discussed in the latter form. The isomorphs described below are concerned with codes for the four colours and for a change in colour as we pass along an edge from vertex to vertex. In the first (algebraic) isomorph, the coding involves the four fourth roots of unity, and leads to a graphical representation in the complex plane. In the second (arithmetical) isomorph, the coding involves the integers mod 4, and also the face-edge incidence matrix of the dual.

Colour Problem of Antimony Trisulphide

1972 ◽  
Vol 249O (1) ◽  
Author(s):  
Ζ. Μ. Hanafi ◽  
Κ. A. Alzewel ◽  
F. Μ. Ismail
Keyword(s):  
Colour Problem

The Colour Problem of Tungsten Trioxide

1971 ◽  
Vol 76 (5_6) ◽  
pp. 265-272 ◽  
Author(s):  
M. S. Farag ◽  
Z. Hanafi ◽  
M. A. Khilla
Keyword(s):  
Tungsten Trioxide ◽  
Colour Problem

Africa's Peril, the Colour Problem

1938 ◽  
Vol XXXVII (CXLIX) ◽  
pp. 523-525
Author(s):  
W. M. M.
Keyword(s):  
Colour Problem

Further Studies on the Colour Problem of Mercuric Oxide

1964 ◽  
Vol 227O (1) ◽  
Author(s):  
A. R. Tourky ◽  
M. S. Farag ◽  
T. M. Salem ◽  
Z. Hanafi
Keyword(s):  
Mercuric Oxide ◽  
Colour Problem

scholarly journals An iterative solution of the three-colour problem on a random lattice

1998 ◽  
Vol 516 (3) ◽  
pp. 529-542 ◽  
Author(s):  
B. Eynard ◽  
C. Kristjansen
Keyword(s):  
Iterative Solution ◽  
Random Lattice ◽  
Colour Problem
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