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福州大学学报(自然科学版) 2018
正组合曲率带边有限图的分类
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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