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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2008, Volume 5, Pages 75–79 (Mi semr93)  
This article is cited in 9 scientific papers (total in 9 papers)

Research papers

Planar graphs without triangular $4$-cycles are $3$-choosable

O. V. Borodina, A. O. Ivanovab

a Sobolev Institute of Mathematics, Novosibirsk, Russia
b Yakutsk State University
Full-text PDF (688 kB) Citations (9)
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Abstract: It is known that not all planar graphs are $4$-choosable (Margit Voigt, 1993), but those without $4$-cycles are $4$-choosable (Lam, Xu and Liu, 1999). We prove that all planar graphs without $4$-cycles adjacent to $3$-cycles are $4$-choosable.
Received February 27, 2008, published March 24, 2008
Bibliographic databases:
Document Type: Article
UDC: 519.172.2
MSC: 05C15
Language: English
Citation: O. V. Borodin, A. O. Ivanova, “Planar graphs without triangular $4$-cycles are $3$-choosable”, Sib. Èlektron. Mat. Izv., 5 (2008), 75–79
Citation in format AMSBIB
\Bibitem{BorIva08}
\by O.~V.~Borodin, A.~O.~Ivanova
\paper Planar graphs without triangular $4$-cycles are $3$-choosable
\jour Sib. \`Elektron. Mat. Izv.
\yr 2008
\vol 5
\pages 75--79
\mathnet{http://mi.mathnet.ru/semr93}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2586624}
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