| On semisymmetric cubic graphs of order 6p~2 |
| |
| 作者姓名： | LU Zaiping WANG Changqun & XU Mingyao
LMAM School of Mathematical Sciences Peking University Beijing China |
| |
| 作者单位： | LU Zaiping，WANG Changqun & XU Mingyao
LMAM，School of Mathematical Sciences，Peking University，Beijing 100871，China;
Department of Mathematics，Zhengzhou University，Zhengzhou 450052，China
Present address: Department of Mathematics，Qufu Normal University，Qufu 273165，China. |
| |
| 基金项目： | 国家自然科学基金，高等学校博士学科点专项科研项目 |
| |
| 摘 要： | A graph r is said to be G-semisymmetric if it is regular and there exists a subgroup G of A := Aut(Г) acting transitively on its edge set but not on its vertex set. In the case of G. = A, we call r a semisymmetric graph. The aim of this paper is to investigate (G-)semisymmetric graphs of prime degree. We give a group-theoretical construction of such graphs, and give a classification of semisymmetric cubic graphs of order 6p2 for an odd prime p.
|
| 本文献已被 CNKI 万方数据 SpringerLink 等数据库收录！ |
