Edge-pancyclicity and Hamiltonian laceability of the balanced hypercubes
文献类型：期刊论文
| 作者 | Xu, Min; Hu, Xiao-Dong ; Xu, Jun-Ming
|
| 刊名 | APPLIED MATHEMATICS AND COMPUTATION
 |
| 出版日期 | 2007-06-15 |
| 卷号 | 189期号:2页码:1393-1401 |
| 关键词 | cycles balanced hypercubes hypercubes edge-pancyclicity Hamiltonian laceability |
| ISSN号 | 0096-3003 |
| DOI | 10.1016/j.amc.2006.12.036 |
| 英文摘要 | The balanced hypercube BHn is a variant of the hypercube Q(n). Huang and Wu proved that BHn has better properties than Q(n) with the same number of links and processors. In particularly, they showed that there exists a cycle of length 2(l) in BHn for all l, 2 <= l <= 2n. In this paper, we improve this result by showing that BHn is edge-pancyclic, which means that for arbitrary edge e, there exists a cycle of even length from 4 to 2(2n) containing e in BHn. We also show that the balanced hypercubes are Hamiltonian laceable. (c) 2006 Elsevier Inc. All rights reserved. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000247699100037 |
| 出版者 | ELSEVIER SCIENCE INC |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/5027]  |
| 专题 | 应用数学研究所 |
| 通讯作者 | Xu, Min |
| 作者单位 | 1.Chinese Acad Sci, Inst Appl Math, Beijing 100080, Peoples R China 2.Univ Sci & Technol China, Dept Math, Hefei 230026, Anhui, Peoples R China |
| 推荐引用方式 GB/T 7714 | Xu, Min,Hu, Xiao-Dong,Xu, Jun-Ming. Edge-pancyclicity and Hamiltonian laceability of the balanced hypercubes[J]. APPLIED MATHEMATICS AND COMPUTATION,2007,189(2):1393-1401. |
| APA | Xu, Min,Hu, Xiao-Dong,&Xu, Jun-Ming.(2007).Edge-pancyclicity and Hamiltonian laceability of the balanced hypercubes.APPLIED MATHEMATICS AND COMPUTATION,189(2),1393-1401. |
| MLA | Xu, Min,et al."Edge-pancyclicity and Hamiltonian laceability of the balanced hypercubes".APPLIED MATHEMATICS AND COMPUTATION 189.2(2007):1393-1401. |
入库方式： OAI收割
来源：数学与系统科学研究院
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