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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2005, Volume 2, Pages 222–229 (Mi semr27)  
This article is cited in 10 scientific papers (total in 10 papers)

Research papers

An oriented $7$-colouring of planar graphs with girth at least $7$

O. V. Borodina, A. O. Ivanovab

a Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
b Yakutsk State University
Full-text PDF (174 kB) Citations (10)
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Abstract: An oriented $k$-colouring of digraph $H$ is an oriented homomorphism of $H$ into a $k$-vertex tournament. We prove that every orientation of a plane graph with girth at least $7$ has an oriented $7$-colouring.
Received October 4, 2005, published November 3, 2005
Bibliographic databases:
Document Type: Article
UDC: 519.172.2
MSC: 05C15
Language: Russian
Citation: O. V. Borodin, A. O. Ivanova, “An oriented $7$-colouring of planar graphs with girth at least $7$”, Sib. Èlektron. Mat. Izv., 2 (2005), 222–229
Citation in format AMSBIB
\Bibitem{BorIva05}
\by O.~V.~Borodin, A.~O.~Ivanova
\paper An oriented $7$-colouring of planar graphs with girth at least~$7$
\jour Sib. \`Elektron. Mat. Izv.
\yr 2005
\vol 2
\pages 222--229
\mathnet{http://mi.mathnet.ru/semr27}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2178001}
\zmath{https://zbmath.org/?q=an:1095.05013}
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  • https://www.mathnet.ru/eng/semr/v2/p222
    • This publication is cited in the following 10 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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