期刊名称：AKCE International Journal of Graphs and Combinatorics
印刷版ISSN：0972-8600
出版年度：2016
卷号：13
期号：3
页码：235-240
DOI：10.1016/j.akcej.2016.06.013
语种：English
出版社：Elsevier
摘要：Abstract The non-cyclic graph C G to a non locally cyclic group G is as follows: take G ∖ C y c ( G ) as vertex set, where C y c ( G ) = { x ∈ G | 〈 x , y 〉 is cyclic for all y ∈ G } is called the cyclicizer of G , and join two vertices if they do not generate a cyclic subgroup. In this paper, we classify the finite groups whose non-cyclic graphs are outerplanar. Also all finite groups whose non-cyclic graphs can be embedded on the torus or projective plane are classified.
