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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2008, Volume 5, Pages 685–690 (Mi semr138)  
Research papers

On planar graphs without list $3$-coloring

V. A. Tashkinov

Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
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Abstract: We construct a planar graph without $4$-and $5$-cycles and without intersecting triangles that has $366$ vertices and no list $3$-coloring from a set of $4$ colors.
Keywords: planar graph, list coloring, $3$-choosability.
Received August 14, 2008, published December 16, 2008
Bibliographic databases:
Document Type: Article
UDC: 519.17
MSC: 05C
Language: Russian
Citation: V. A. Tashkinov, “On planar graphs without list $3$-coloring”, Sib. Èlektron. Mat. Izv., 5 (2008), 685–690
Citation in format AMSBIB
\Bibitem{Tas08}
\by V.~A.~Tashkinov
\paper On planar graphs without list $3$-coloring
\jour Sib. \`Elektron. Mat. Izv.
\yr 2008
\vol 5
\pages 685--690
\mathnet{http://mi.mathnet.ru/semr138}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=2586667}
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