Vertex transitive maps on the Klein bottle

被引：5

作者：

Such, Ondrej ^{[1
,2
]}

机构：

[1] Inst Math & Comp Sci, Banska Bystrica 97401, Slovakia

[2] Univ Mateja Bela Tajovskeho 40, Fak Prirodnych Vied, Banska Bystrica 97401, Slovakia

来源：

ARS MATHEMATICA CONTEMPORANEA | 2011年 / 4卷 / 02期

关键词：

Klein bottle; wallpaper group; vertex-transitive map; TILINGS; GRAPHS;

D O I：

10.26493/1855-3974.133.bf8

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We examine properties of groups associated with vertex transitive maps on the Klein bottle. As an application, we prove that all 4-line vertex transitive maps on the Klein bottle introduced by Babai admit a free vertex transitive action, but there are others that do not.

引用

页码：363 / 374

页数：12

共 11 条

[1] VERTEX-TRANSITIVE GRAPHS AND VERTEX-TRANSITIVE MAPS [J].