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Class I graphs of nonnegative characteristic without special cycles
Authors:Dan-jun Huang  Wei-fan Wang
Institution:1. Department of Mathematics, Zhejiang Normal University, Jinhua, 321004, China
Abstract:In this paper, we prove that every graph with maximum degree six that can be embedded in a surface of nonnegative characteristic is of Class I if it does not contain a 5- or 6-cycle with a chord, which extends some known results.
Keywords:graph  Class I  characteristic  cycle  
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