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Every Planar Graph with Maximum Degree 7 Is of Class 1
Authors:Limin Zhang
Institution:(1) Department of Applied Mathematics, Information Engineering Institute, P.O. Box 1001-46, Zhengzhou Henan 450002, The People's Republic of China, CN
Abstract:V.G. Vizing conjectured in 1968 that every planar graph with maximum degree 6 or 7 is of class 1. This paper shows that, for planar graphs with maximum degree 7, Vizing's conjecture is true. Revised: November 24, 1999
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