Geodesic
Planar graphs without triangles adjacent to cycles of length from~$3$ to~$9$ are $3$-colorable
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 3 (2006), pp. 428-440.

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Planar graphs without triangles adjacent to cycles of length from $3$ to $9$ are proved to be $3$-colorable, which extends Grötzsch's theorem. We conjecture that planar graphs without $3$-cycles adjacent to cycles of length $3$ or $5$ are $3$-colorable. 
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     title = {Planar graphs without triangles adjacent to cycles of length from~$3$ to~$9$ are $3$-colorable},
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O. V. Borodin; A. N. Glebov; T. R. Jensen; A. Raspaud. Planar graphs without triangles adjacent to cycles of length from~$3$ to~$9$ are $3$-colorable. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 3 (2006), pp. 428-440. http://geodesic.mathdoc.fr/item/SEMR_2006_3_a27/

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