关于交叉立方体中一类保维自同构群的讨论

doi:10.3969/j.issn.1007-7162.2013.03.018

广东工业大学学报 ›› 2013, Vol. 30 ›› Issue (3): 95-100.doi: 10.3969/j.issn.1007-7162.2013.03.018

关于交叉立方体中一类保维自同构群的讨论

郑健微,殷超杰

广东工业大学应用数学学院，广东广州 510006

收稿日期:2012-07-09 出版日期:2013-09-30 发布日期:2013-09-30
作者简介:郑健微（1990-），女，硕士研究生，主要研究方向为组合网络.

A Kind of Dimension Preserving Automorphism Group of the Crossed Cube

Zheng Jian-wei, Yin Chao-jie

School of Applied Mathematics，Guangdong University of Technology， Guangzhou 510520，China

Received:2012-07-09 Online:2013-09-30 Published:2013-09-30

摘要/Abstract

摘要： 交叉立方体的圈、路嵌入与容错问题是研究的热点.为进一步研究交叉立方体，本文构造了一类保维自同构并证明了在合成运算下这些保维自同构构成群.

关键词: 交叉立方体；超立方体；互联网络；保维自同构；保维自同构群

Abstract: The embedding of paths or cycles in the crossed cube has been attracting much research interest, and the fault-tolerance of the crossed cube has been a major concern of relevant studies as well. In order to study the crossed cube further, it constructs a kind of dimension preserving automorphism, and proves that it can be a group with synthetic operation.

Key words: crossed cube; Hypercube; interconnection networks; dimension preserving automorphism; dimension preserving automorphism group

郑健微,殷超杰. 关于交叉立方体中一类保维自同构群的讨论[J]. 广东工业大学学报, 2013, 30(3): 95-100.

Zheng Jian-wei, Yin Chao-jie. A Kind of Dimension Preserving Automorphism Group of the Crossed Cube[J]. Journal of Guangdong University of Technology, 2013, 30(3): 95-100.

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A Kind of Dimension Preserving Automorphism Group of the Crossed Cube

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