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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2008, Volume 5, Pages 417–426 (Mi semr116)  
This article is cited in 12 scientific papers (total in 12 papers)

Research papers

Circular $(5,2)$-coloring of sparse graphs

O. V. Borodina, S. G. Hartkeb, A. O. Ivanovac, A. V. Kostochkaa, D. B. Westb

a Sobolev Institute of Mathematics, Novosibirsk, Russia
b University of Illinois, Urbana, USA
c Yakutsk State University
Full-text PDF (731 kB) Citations (12)
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Abstract: We prove that every triangle-free graph whose subgraphs all have average degree less than $\frac{12}5$ has a circular $(5,2)$-coloring. This includes planar and projective-planar graphs with girth at least $12$.
Keywords: triangle-free graph, circular $(k,d)$-coloring, projective-planar graph.
Received August 14, 2008, published October 29, 2008
Bibliographic databases:
Document Type: Article
UDC: 519.172.2
MSC: 05С15
Language: English
Citation: O. V. Borodin, S. G. Hartke, A. O. Ivanova, A. V. Kostochka, D. B. West, “Circular $(5,2)$-coloring of sparse graphs”, Sib. Èlektron. Mat. Izv., 5 (2008), 417–426
Citation in format AMSBIB
\Bibitem{BorHarIva08}
\by O.~V.~Borodin, S.~G.~Hartke, A.~O.~Ivanova, A.~V.~Kostochka, D.~B.~West
\paper Circular $(5,2)$-coloring of sparse graphs
\jour Sib. \`Elektron. Mat. Izv.
\yr 2008
\vol 5
\pages 417--426
\mathnet{http://mi.mathnet.ru/semr116}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2586647}
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    • This publication is cited in the following 12 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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