|
|||||
|
|
Classifying Arc-Transitive Circulants of Square-Free Order |
|
| Authors: | Caiheng Li Dragan Maru?i? Joy Morris |
| Institution: | Caiheng Li, Dragan Maru i and Joy Morris |
| Abstract: | A circulant is a Cayley graph of a cyclic group. Arc-transitive circulants of square-free order are classified. It is shown that an arc-transitive circulant  of square-free order n is one of the following: the lexicographic product
![$$\sum {\bar K_b ]}$$](/content/m474158346626112/10801_2004_Article_356447_TeX2GIFIE1.gif)
, or the deleted lexicographic
![$$\Sigma \bar K_b ] - b\Sigma $$](/content/m474158346626112/10801_2004_Article_356447_TeX2GIFIE2.gif)
, where n = bm and  is an arc-transitive circulant, or is a normal circulant, that is, Aut has a normal regular cyclic subgroup. |
| Keywords: | circulant graph arc-transitive graph square-free order cyclic group primitive group imprimitive group |
| 本文献已被 SpringerLink 等数据库收录！ | |