Planar graphs without 4-, 5- and 8-cycles are 3-colorable
Discussiones Mathematicae. Graph Theory, Tome 31 (2011) no. 4, pp. 775-789
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In this paper we prove that every planar graph without 4, 5 and 8-cycles is 3-colorable.
Keywords:
3-coloring, planar graph, discharging
@article{DMGT_2011_31_4_a10,
author = {Mondal, Sakib},
title = {Planar graphs without 4-, 5- and 8-cycles are 3-colorable},
journal = {Discussiones Mathematicae. Graph Theory},
pages = {775--789},
publisher = {mathdoc},
volume = {31},
number = {4},
year = {2011},
language = {en},
url = {http://geodesic.mathdoc.fr/item/DMGT_2011_31_4_a10/}
}
Mondal, Sakib. Planar graphs without 4-, 5- and 8-cycles are 3-colorable. Discussiones Mathematicae. Graph Theory, Tome 31 (2011) no. 4, pp. 775-789. http://geodesic.mathdoc.fr/item/DMGT_2011_31_4_a10/