Geodesic
A Categorical Characterization of the Four Colour Theorem
Canadian mathematical bulletin, Tome 29 (1986) no. 4, pp. 426-431

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DOI

The surjectivity of epimorphisms in the category of planar graphs and edge-preserving maps follows from and is implied by the Four Colour Theorem. The argument that establishes the equivalence is not combinatorially complex.
DOI : 10.4153/CMB-1986-067-8
Mots-clés : 05C15 
Fawcett, Barry. A Categorical Characterization of the Four Colour Theorem. Canadian mathematical bulletin, Tome 29 (1986) no. 4, pp. 426-431. doi: 10.4153/CMB-1986-067-8
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     title = {A {Categorical} {Characterization} of the {Four} {Colour} {Theorem}},
     journal = {Canadian mathematical bulletin},
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     year = {1986},
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     number = {4},
     doi = {10.4153/CMB-1986-067-8},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1986-067-8/}
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