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Diskretnyi Analiz i Issledovanie Operatsii, Ser. 1, 2006, Volume 13, Issue 1, Pages 16–32 (Mi da21)  
This article is cited in 25 scientific papers (total in 25 papers)

Oriented 5-coloring of sparse plane graphs

O. V. Borodina, A. O. Ivanovab, A. V. Kostochkaac

a Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
b Yakutsk State University
c University of Illinois at Urbana-Champaign
Full-text PDF (269 kB) Citations (25)
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Abstract: An oriented $k$-coloring of an oriented graph $H$ is defined to be an oriented homomorphism of $H$ into a $k$-vertex tournament. It is proved that every orientation of a graph with girth at least 5 and maximum average degree over all subgraphs less than 12/5 has an oriented 5-coloring. As a consequence, each orientation of a plane or projective plane graph with girth at least 12 has an oriented 5-coloring.
Received: 27.09.2005
English version:
Journal of Applied and Industrial Mathematics, 2007, Volume 1, Issue 1, Pages 9–17
DOI: https://doi.org/10.1134/S1990478907010024
Bibliographic databases:
UDC: 517.71
Language: Russian
Citation: O. V. Borodin, A. O. Ivanova, A. V. Kostochka, “Oriented 5-coloring of sparse plane graphs”, Diskretn. Anal. Issled. Oper., Ser. 1, 13:1 (2006), 16–32; J. Appl. Industr. Math., 1:1 (2007), 9–17
Citation in format AMSBIB
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\by O.~V.~Borodin, A.~O.~Ivanova, A.~V.~Kostochka
\paper Oriented 5-coloring of sparse plane graphs
\jour Diskretn. Anal. Issled. Oper., Ser.~1
\yr 2006
\vol 13
\issue 1
\pages 16--32
\mathnet{http://mi.mathnet.ru/da21}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2258901}
\zmath{https://zbmath.org/?q=an:1249.05112}
\transl
\jour J. Appl. Industr. Math.
\yr 2007
\vol 1
\issue 1
\pages 9--17
\crossref{https://doi.org/10.1134/S1990478907010024}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-38449112627}
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    • This publication is cited in the following 25 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Дискретный анализ и исследование операций
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    References:58
     
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