On the 3-colorability of planar graphs without 4-, 7- and 9-cycles |
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Authors: | Huajing Lu Weifan Wang |
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Affiliation: | a College of Mathematics, Physics, and Information Engineering, Zhejiang Normal University, Jinhua, 321004, China b Université de Bordeaux, LaBRI, 33405 Talence cedex, France |
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Abstract: | In this paper, we mainly prove that planar graphs without 4-, 7- and 9-cycles are 3-colorable. |
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Keywords: | Planar graphs Cycles Extendability Coloring |
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