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