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正组合曲率带边有限图的分类
Classification of positive combinatorial curvature finite graphs with boundary

DOI: 10.7631/issn.1000-2243.17366

Keywords: 组合曲率 有限图 分类问题
combinatorial curvature finite graph classification

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Abstract:

研究正组合曲率带边有限图的分类,证明除正多边形外,带边有限图只有71种互不同构的类型,并给出全部分类. 另外,得到正组合曲率有限图的最大顶点数为28.
We investigate the classification of positive combinatorial curvature finite graphs with boundary and prove that except the polygon case,such finite graphs with boundary has only 71 different cases. Furthermore,we prove that the maximal number of vertex is 28

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