Edge-pancyclicity of Mobius cubes

doi:10.1016/j.ipl.2005.07.003

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	Edge-pancyclicity of Mobius cubes
	Xu, M ; Xu, JM
	2005-11-30
发表期刊	INFORMATION PROCESSING LETTERS
ISSN	0020-0190
卷号	96 期号:4 页码:136-140
摘要	The Mobius cube M-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 by Fan [J. Fan, Hamilton-connectivity and cycle-embedding of Mobius cubes, Inform. Process. Lett. 82 (2002) 113-117] and Huang et al. [W.-T. Huang, W.-K. Chen, C.-H. Chen, Pancyclicity of Mobius cubes, in: Proc. 9th Internat. Conf. on Parallel and Distributed Systems (ICPADS'02), 17-20 Dec. 2002, pp. 591-596], independently, that Mn contains a cycle of every length from 4 to 2(n). In this paper, we improve this result by showing that every edge of M, lies on a cycle of every length from 4 to 2(n) inclusive. (c) 2005 Elsevier B.V. All rights reserved.
关键词	combinatorial problems cycles Mobius cubes hypercubes pancyclicity edge-pancyclicity
DOI	10.1016/j.ipl.2005.07.003
语种	英语
WOS研究方向	Computer Science
WOS类目	Computer Science, Information Systems
WOS记录号	WOS:000232873600003
出版者	ELSEVIER SCIENCE BV
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/1364
专题	中国科学院数学与系统科学研究院
通讯作者	Xu, JM
作者单位	1.Univ Sci & Technol China, Dept Math, Hefei 230026, Anhui, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Inst Appl Math, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Xu, M,Xu, JM. Edge-pancyclicity of Mobius cubes[J]. INFORMATION PROCESSING LETTERS,2005,96(4):136-140.
APA	Xu, M,&Xu, JM.(2005).Edge-pancyclicity of Mobius cubes.INFORMATION PROCESSING LETTERS,96(4),136-140.
MLA	Xu, M,et al."Edge-pancyclicity of Mobius cubes".INFORMATION PROCESSING LETTERS 96.4(2005):136-140.