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| 2p~n阶连通p~2度的半对称图 | |
| 引用本文： | 王丽. 2p~n阶连通p~2度的半对称图[J]. 数学的实践与认识, 2011, 41(10) |
| 作者姓名： | 王丽 |
| 作者单位： | 首都师范大学数学科学学院,北京,100048 |
| 基金项目： | 首都师范大学学科与研究生教育专项经费 |
| 摘 要： | 称一个有限简单无向图X是半对称图,如果图X是正则的且边传递但非点传递.本文主要利用仿射几何构造了一类2p~n阶连通p~2度的半对称图的无限族,其中p≥n≥5. |
| 关 键 词： | 半对称图 仿射几何 仿射群 |
Semisymmetric Graphs of Order 2PN and Valency p2 |
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| WANG Li. Semisymmetric Graphs of Order 2PN and Valency p2[J]. Mathematics in Practice and Theory, 2011, 41(10) | |
| Authors: | WANG Li |
| Affiliation: | WANG Li (School of Mathmatical Sciences,Captital Normal University,Beijing 100048,China) |
| Abstract: | A finite simple undirected graph is said to be semisymmetric if it is regular and edge-transitive but not vertex-transitive.In this paper,an infinite family of connected semisymmetric graphs of order 2p~n and valency p~2 is constructed,where p is a prime and p≥n≥5. |
| Keywords: | Semisymmetric graph Affine geometry Permutation group |
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