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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2005, Volume 2, Pages 239–249 (Mi semr30)  
This article is cited in 5 scientific papers (total in 5 papers)

Research papers

An oriented colouring of planar graphs with girth at least $4$

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 (286 kB) Citations (5)
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Abstract: An oriented $k$-colouring of an oriented graph $H$ is a homomorphism of $H$ into a tournament on $k$ vertices. In the paper we prove that any orientation of a planar graph without triangle has an oriented $47$-colouring, which improves the best known upper bound $59$.
Received October 4, 2005, published November 4, 2005
Bibliographic databases:
Document Type: Article
UDC: 519.172.2
MSC: 05C15
Language: Russian
Citation: O. V. Borodin, A. O. Ivanova, “An oriented colouring of planar graphs with girth at least $4$”, Sib. Èlektron. Mat. Izv., 2 (2005), 239–249
Citation in format AMSBIB
\Bibitem{BorIva05}
\by O.~V.~Borodin, A.~O.~Ivanova
\paper An oriented colouring of planar graphs with girth at least~$4$
\jour Sib. \`Elektron. Mat. Izv.
\yr 2005
\vol 2
\pages 239--249
\mathnet{http://mi.mathnet.ru/semr30}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2178004}
\zmath{https://zbmath.org/?q=an:1094.05024}
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    • This publication is cited in the following 5 articles:
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