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The maximum genus of a 3-regular simplicial graph
Authors:Li Deming  Liu Yanpei
Institution:(1) Dept. of Math., Capital Normal Univ., 100037 Beijing;(2) Dept. of Math., Northern Jiaotong Univ., 100044 Beijing
Abstract:In this paper, the relationship between non-separating independent number and the maximum genus of a 3-regular simplicial graph is presented. A lower bound on the maximum genus of a 3-regular graph involving girth is provided. The lower bound is tight, it improves a bound of Huang and Liu.
Keywords:05C10
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