2-Distance coloring of planar graphs with girth 5 |
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| Authors: | Wei Dong Baogang Xu |
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| Institution: | 1.School of Information and Engineering,Nanjing XiaoZhuang University,Nanjing,China;2.Institute of Mathematics, School of Mathematical Sciences,Nanjing Normal University,Nanjing,China |
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| Abstract: | A vertex coloring is said to be 2-distance if any two distinct vertices of distance at most 2 receive different colors. Let G be a planar graph with girth at least 5. In this paper, we prove that G admits a 2-distance coloring with at most \(\Delta (G)+3\) colors if \(\Delta (G)\ge 339\). |
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