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Graphs on which a group of order pq acts edge-transitively
  • ISSN号：1005-1031
  • 期刊名称：Applied Mathematics-A Journal of Chinese Universit
  • 时间：0
  • 页码：489-495
  • 语言：英文
  • 分类：O152.8[理学—数学;理学—基础数学]
  • 作者机构：[1]中国民航大学理学院,天津300300
  • 相关基金：国家自然科学基金项目（60776810）;天津市自然科学基金项目（08JGYBJG3900）;中国民航大学科研基金项目（09CAUC-S02）
  • 相关项目：具有良好传递性的组合结构
作者： Chen Shang-di|Guo Yan-hong|
关键词： CAYLEY图, 自同构群, 正则图, Cayley graph, automorphism group, regular graph
中文摘要：

为研究正则图的性质和自同构群,运用p4阶群的性质和分类,以及图的传递性和图的覆盖理论,获得了2p^4阶3次s-正则图的一些性质,其中p〉7,1≤s≤5。证明了这类图是Cayley图,并刻画出了这类图的自同构群。

英文摘要：

The main aim of the paper is studying the properties and automorphism groups of regular graphs.Using the properties and classification of the groups of order p4,the transitive properties and covering techniques of graphs,we give some properties of the regular connected cubic symmetric graphs of order 2p^4 for each prime p〉7 and each 1≤s≤5.It is proved by us that these graphs are Cayley graphs.The automorphism groups of these graphs are described too.

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期刊信息
  • 《高校应用数学学报：英文版（B辑）》
  • 主管单位:教育部
  • 主办单位:浙江大学 中国工业与应用数学学会
  • 主编：林正炎 李大潜
  • 地址：杭州玉泉浙江大学数学系
  • 邮编：310027
  • 邮箱：amjcu B@eju.edu.cn
  • 电话：0571-87951602
  • 国际标准刊号：ISSN：1005-1031
  • 国内统一刊号：ISSN：33-1171/O
  • 邮发代号:
  • 获奖情况:
  • 国内外数据库收录:
  • 美国数学评论（网络版）,德国数学文摘,荷兰文摘与引文数据库,美国科学引文索引（扩展库）
  • 被引量:26