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Maximum Genus and Girth of a Graph
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作者 黄元秋 刘彦佩 《Journal of Mathematical Research and Exposition》 CSCD 2000年第2期187-193,共7页
It is known (for example, see [4]) that the maximum genus of a graph is mainly determined by the Betti deficiency of the graph. In this paper, we establish a best upper bound on the Betti deficiency of a graph bounded... It is known (for example, see [4]) that the maximum genus of a graph is mainly determined by the Betti deficiency of the graph. In this paper, we establish a best upper bound on the Betti deficiency of a graph bounded by its independence number and girth, and immediately obtain a new result on the maximum genus. 展开更多
关键词 maximum genus Betti deficiency independece number girth.
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