| 关于图及其主子图的自同构群的注记 |
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| 引用本文： | 甘少君,阿勇嘎. 关于图及其主子图的自同构群的注记[J]. 宝鸡文理学院学报(自然科学版), 2011, 31(1): 1-8 |
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| 作者姓名： | 甘少君 阿勇嘎 |
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| 作者单位： | 内蒙古师范大学,数学科学学院,内蒙古,呼和浩特,010022 |
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| 摘 要： | 目的证明Stephen G.Hartke和Hannah Kolb在2009年提出的2个有限群删减关系的相关结论。方法根据有限群与代数图论的相关理论用演绎法证明的方法。结果完全严格地证明了有限群删减关系的相关结论。结论不仅证明了相关结论,而且对Stephen G.Hartke和Hannah Kolb给出的构图方法进行优化,使构造出的图阶数相对较小。
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| 关 键 词： | 删减关系 自同构群 Cayley图 非对称树 |
A note on automorphism groups of a graph and its primary subgraph |
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| GAN Shao-jun,A Yongga. A note on automorphism groups of a graph and its primary subgraph[J]. Journal of Baoji College of Arts and Science(Natural Science Edition), 2011, 31(1): 1-8 |
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| Authors: | GAN Shao-jun A Yongga |
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| Affiliation: | GAN Shao-jun,A Yongga(College of Mathematical Science,Inner Mongolia Normal University,Hohhot 010022,Inner Mongolia,China) |
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| Abstract: | Aim To prove the relevant conclusions about two finite groups' omission and deletion relation which was raised by Stephen G.Hartke and Hannah Kolb in 2009.Methods The theorems of two finite groups' omission and deletion relation has been proved definitively and completely.Results The theorems of two finite groups' deletion relation had been proved completely.Conclusion Not only is the relevant conclusions about two finite groups' omission and deletion relation proved but also the graph composition method gi... |
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| Keywords: | omission and deletion relation automorphism group Cayley graph unbalanced tree |
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