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一类交叉立方体的自同构 被引量：1

A Kind of Automorphism of the Crossed Cube
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摘要 确定了交叉立方体的一类自同构并证明了这些自同构构成群,另外利用该自同构群得到交叉立方体的节点的分类. It determined a kind of automorphism of the crossed cube, and proved that the automorphism formed a group. Moreover, this automorphism group was used to classify crossed cube nodes.
作者 李林 郭大昌 殷超杰
机构地区 广东工业大学应用数学学院
出处 《广东工业大学学报》 CAS 2011年第4期45-47,58,共4页 Journal of Guangdong University of Technology
关键词 交叉立方体 超立方体 互联网络 相似点 保维同构映射 crossed cube hypercube interconnected networks similar vertices dimension preserving automor-phism
分类号 O177.91 [理学—基础数学]
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参考文献9

  • 1Efe K. A variation on the hypercube with lower diameter [ J ]. IEEE Transactions on Computers, Parallel and Distributed Systems ,1991,40( 11 ) :1312-1316.
  • 2Fan J, Jia X, Lin X. Node-pancyclicity and edge-pancyclicity of crossed cubes [ J ]. Information Processing Letters, 2005,93 (3) : 133-138.
  • 3Kulasinghe P, Bettayeb S. Embedding binary trees into crossed cubes [ J ]. IEEE Transactions on Computers, 1995,44(7) :923-929.
  • 4Yang M C, Li T K. Fault-tolerant cycle-embedding of crossed cubes [ J ]. Information Processing Letters, 2003, 88(4) :149-154.
  • 5Hung H, Fu J, Chen G. Fault-free Hamihonian cycles in crossed cubes with conditional link faults [ J ]. Information Science, 2007,177 (24) :5664-5674.
  • 6Dong Q, Yang X. Embedding a long fault-free cycle in a crossed cube with more faulty nodes [ J ]. Information Processing Letters, 2010,110 ( 11 ) :464-468.
  • 7BaoIei C, Fan J, Jiwcn Y, et al. An algorithm to construct independent spanning trees on crossed cubes [ EB/OL ]. [ 2011- 06- 20 ]. http: // ieeexplore, ieee. org/search/ searchresuh, jsp? newsearch = true&queryText = An + algorithm + to + construct + independent + spanning + trees + on + crossed + cubes&x =39&y = 17.
  • 8Efe K. The crossed cube architecture for parallel computation[ J ]. IEEE Transactions on Computers, Parallel and Distributed Systems, 1992,3 (5) :513-524.
  • 9Efe K. Topological properties of the crossed cube archiecture[ J]. Parallel Computing, 1994,20(12) : 1763-1775.

同被引文献14

  • 1Efe K. A variation on the Hypercube with lower diameter [ J]. IEEE Transactions on Parallel and Distributed Sys- tems, 1991,40( 11 ) : 1312-1316.
  • 2Efe K. The crossed cube architecture for parallel computa- tion [ J ]. IEEE Transactions on Parallel and Distributed Systems, 1992,3 ( 5 ) : 513-524.
  • 3Kulasinghe P, Bettayeb S. Embedding binary trees into crossed cubes [ J ]. IEEE Transactions on Computers, 1995,44(7 ) :923-929.
  • 4Baolei C, Fan J, Jiwen Y, et al. An algorithm to construct in- dependent spanning trees on crossed cubes [ EB/OL ]. (2010-10-04). http: // ieeexplore, ieee. org/search/ searchresuh, jsp? Newsearch = true&queryText - An + al- gorithm + to + construct + independent + sapnning + trees + on + crossed + cubes&x = 39&y = 17.
  • 5Yang M C, Li T K, Tan J J M, et al. Fault-tolerant cycle- embedding of crossed cube[J]. Information Processing let- ters 2003,88(4) : 149-154.
  • 6Fan J, Jian X, Lin X. Node-pancyclicity and edge-pancyc- licity of crossed cubes [ J ]. Information Processing letters, 2005,93(3) :133-138.
  • 7Dong Q, Yan X. Embedding a long fault-free cycle in a crossed cube with more faulty nodes [ J ]. Information Pro- cessing letters ,2010,110( 11 ) :464-468.
  • 8Li L, Guo D. Cycle embedding in crossed cubes with condi-tional edge faults [ EB/OL ]. ( 2012- 03- 23 ). http : ff ieeex- plore, ieee. org/xpl/articleDetails, jsp? tp = &amumb er = 6221716 &contentType = Conference + Publications &searchField% 3DSeareh_All% 26queryText% 3DE robed- ding + in + crossed + cubes + with + conditional + edge + faults.
  • 9Wang D. On embedding Hamihonian cycles in crossed cubes[ J]. IEEE Transactions on Parallel and Distributed Systems 2008,19 ( 3 ) : 334-346.
  • 10Chen Hon-chan, Kung Tzu-liang, Hsu Lih-hsing. Embed-ding a Hamilonian cycle in the crossed cube with two re- quired vertices in the fixed positons [ J ]. Applied Mathe- matics and Computation,2011,217 (24) :10058-10065.

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广东工业大学学报
2011年 第4期

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