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Properties of minimal charts and their applications VII: Charts of type (2,3,2)
Topology and its Applications ( IF 0.6 ) Pub Date : 2020-10-01 , DOI: 10.1016/j.topol.2020.107365
Teruo Nagase , Akiko Shima

Abstract Let Γ be a chart, and we denote by Γ m the union of all the edges of label m. A chart Γ is of type ( 2 , 3 , 2 ) if there exists a label m such that w ( Γ ) = 7 , w ( Γ m ∩ Γ m + 1 ) = 2 , w ( Γ m + 1 ∩ Γ m + 2 ) = 3 , and w ( Γ m + 2 ∩ Γ m + 3 ) = 2 where w ( G ) is the number of white vertices in G. In this paper, we prove that there is no minimal chart of type ( 2 , 3 , 2 ) .

中文翻译:

最小图表的属性及其应用 VII:图表类型 (2,3,2)

摘要 设Γ 为一个图,我们用Γ m 表示标签m 的所有边的并集。如果存在标签 m 使得 w ( Γ ) = 7 , w ( Γ m ∩ Γ m + 1 ) = 2 , w ( Γ m + 1 ∩ Γ m ),则图 Γ 的类型为 ( 2 , 3 , 2 ) 。 + 2 ) = 3 ,并且 w ( Γ m + 2 ∩ Γ m + 3 ) = 2 其中 w ( G ) 是 G 中白色顶点的数量。在本文中,我们证明没有最小类型图 ( 2、3、2)。
更新日期:2020-10-01
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