| 交叉超立方体网络的边泛圈性 |
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| 引用本文： | 马美杰,徐俊明. 交叉超立方体网络的边泛圈性[J]. 中国科学技术大学学报, 2005, 35(3): 329-333 |
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| 作者姓名： | 马美杰 徐俊明 |
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| 作者单位： | 中国科学技术大学数学系,安徽,合肥,230026 |
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| 基金项目： | Supported by NNSF of China (10271114). |
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| 摘 要： | 作为超立方体Qn的变型，在点数和边数都相同的情况下，交叉超立方体CQn有比超立方体更好的性质．在已获证明的CQn包含所有长度(从4到2^n)的圈的基础上，进一步改进了这一结果，证明了CQn中每条边落在所有长度(从4到2^n)的圈中．
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| 关 键 词： | 圈 交叉超立方体 超立方体 泛圈 边一泛圈性 |
| 文章编号： | 0253-2778(2005)03-0329-05 |
| 修稿时间： | 2004-03-26 |
Edge-Pancyclicity of Crossed Cubes |
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| MA Mei-jie,XU Jun-ming. Edge-Pancyclicity of Crossed Cubes[J]. Journal of University of Science and Technology of China, 2005, 35(3): 329-333 |
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| Authors: | MA Mei-jie XU Jun-ming |
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| Abstract: | The crossed cube CQ_n is a variant of the hypercube Q_n and has better properties than Q_n with the same number of links and processors. It has been shown that CQ_n contains a cycle of every length from 4 to 2~n. The result is improved by showing that every edge of CQ_n lies on a cycle of every length from 4 to 2~n inclusive. |
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| Keywords: | cycle crossed cubes hypercubes pancyclicity edge-pancyclicity |
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