八个点的极小非环面图
Minimal Nontoroidal Graphs on Eight Vertices
DOI: 10.12677/AAM.2013.24025, PDF, HTML, 下载: 2,779  浏览: 9,542  国家自然科学基金支持
作者: 晁福刚, 任 韩：华东师范大学数学系，上海
关键词: 嵌入；亏格；极小非环面图；Embedding; Genus; Minimal Nontoroidal Graph
摘要: 借助于嵌入的技巧，证明了由K8，八个点的完全图，去掉K3，三角形，或K2,3，部集的点数为2和3的完全二部图，或K2∪K2∪P3，长度为1的两条路和长度为2的一条路的不交并，中的边得到的图是极小的非环面图。
Abstract: Using the technique of embedding, we prove that the graphs obtained fromK8 , the complete graph on eight vertices, by deleting the edges ofK3 , a triangle, orK2,3 , the complete bipartite graph with 2 vertices and 3 vertices, orK2∪K2∪P3 , the disjoint union of two paths of length one and one path of length two, are minimal nontoroidal graphs.
文章引用：晁福刚, 任韩. 八个点的极小非环面图[J]. 应用数学进展, 2013, 2(4): 186-190. http://dx.doi.org/10.12677/AAM.2013.24025

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