Geodesic
One Probabilistic equivalent of the four color conjecture
Teoriâ veroâtnostej i ee primeneniâ, Tome 48 (2003) no. 2, pp. 411-416

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For every two-connected planar three-valent graph we introduce in a natural way a probabilistic space and define two random events. The four color conjecture turns out to be equivalent to (a positive) correlation of these events.
Mots-clés : four color conjecture. 
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     author = {Yu. V. Matiyasevich},
     title = {One {Probabilistic} equivalent of the four color conjecture},
     journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
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     year = {2003},
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Yu. V. Matiyasevich. One Probabilistic equivalent of the four color conjecture. Teoriâ veroâtnostej i ee primeneniâ, Tome 48 (2003) no. 2, pp. 411-416. http://geodesic.mathdoc.fr/item/TVP_2003_48_2_a13/