| 素数立方阶群局部传递的图 |
| |
| 引用本文： | 陈尚弟,朱文艳.素数立方阶群局部传递的图[J].纯粹数学与应用数学,2010,26(2):193-200,219. |
| |
| 作者姓名： | 陈尚弟 朱文艳 |
| |
| 作者单位： | 中国民航大学理学院,天津,300300;中国民航大学理学院,天津,300300 |
| |
| 基金项目： | 国家自然科学基金，天津市自然科学基金，中国民航大学科研基金 |
| |
| 摘 要： | 目的是研究局部传递图的性质和分类.运用置换群和陪集图的理论,获得了关于素数立方阶群局部传递图的完全分类,证明了这些图是一些互不相交的关于素数立方阶群边传递图的并.
|
| 关 键 词： | 素数立方阶群 局部传递图 边传递图 |
Graphs on which a group of order prime cube acts local-transitively |
| |
| CHEN Shang-di,ZHU Wen-yan.Graphs on which a group of order prime cube acts local-transitively[J].Pure and Applied Mathematics,2010,26(2):193-200,219. |
| |
| Authors: | CHEN Shang-di ZHU Wen-yan |
| |
| Institution: | CHEN Shang-di,ZHU Wen-yan(College of Science,Civil Aviation University of China,Tianjin 300300,China) |
| |
| Abstract: | It is the purpose studying the properties and classifications of local-transitive graphs in this paper.Using the theory of permutation groups and coset graphs,we obtain a completely classification of the graphs on which the action of a group of order prime cube is local-transitive.It is shown that they are the union of some graphs which are mutual disjoint,and the action of a group of order prime cube on each graph is edge-transitive. |
| |
| Keywords: | group of order prime cube local-transitive graph edge-transitive graph |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
