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Teoriya Veroyatnostei i ee Primeneniya, 2003, Volume 48, Issue 2, Pages 411–416
DOI: https://doi.org/10.4213/tvp295 (Mi tvp295) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Short Communications

One Probabilistic equivalent of the four color conjecture

Yu. V. Matiyasevich

St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
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DOI: https://doi.org/10.4213/tvp295
Abstract: 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.
Keywords: four color conjecture.
Received: 17.12.2002
English version:
Theory of Probability and its Applications, 2004, Volume 48, Issue 2, Pages 368–372
DOI: https://doi.org/10.1137/S0040585X97980476
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: Yu. V. Matiyasevich, “One Probabilistic equivalent of the four color conjecture”, Teor. Veroyatnost. i Primenen., 48:2 (2003), 411–416; Theory Probab. Appl., 48:2 (2004), 368–372
Citation in format AMSBIB
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\transl
\jour Theory Probab. Appl.
\yr 2004
\vol 48
\issue 2
\pages 368--372
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  • https://www.mathnet.ru/eng/tvp/v48/i2/p411
    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теория вероятностей и ее применения Theory of Probability and its Applications
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