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	Conditional fault-tolerant edge-bipancyclicity of hypercubes with faulty vertices and edges
	Yang, Da-Wei ; Gu, Mei-Mei
	2016
关键词	Cycle embedding Interconnection network Fault-tolerance Hypercubes Edge-bipancyclicity FOLDED HYPERCUBES NODE FAILURES CYCLES PANCYCLICITY VERTEX BIPANCONNECTIVITY GRAPHS CUBES
英文摘要	Let F be a faulty set in an n-dimensional hypercube Q(n) such that in Q(n) - F each vertex is incident to at least two edges, and let f(v), f(e) be the numbers of faulty vertices and faulty edges in F, respectively. In this paper, we consider the fault-tolerant edge-bipancyclicity of hypercubes. It is shown that each edge in Q(n) - F for n >= 3 lies on a fault-free cycle of any even length from 6 to 2(n) - 2f(v) if f(v) + f(e) <= 2n - 5. This gives an answer for a problem proposed by Yang et al. (2016) [33]. (C) 2016 Elsevier B.V. All rights reserved.; National Natural Science Foundation of China [11571035, 11231008, 11371052]; SCI(E); EI; ARTICLE; dwyang@bjtu.edu.cn; gum2012@bjtu.edu.cn; 82-89; 627
语种	英语
出处	SCI ; EI
出版者	THEORETICAL COMPUTER SCIENCE
内容类型	其他
源URL	[http://hdl.handle.net/20.500.11897/437272]
专题	数学科学学院
推荐引用方式 GB/T 7714	Yang, Da-Wei,Gu, Mei-Mei. Conditional fault-tolerant edge-bipancyclicity of hypercubes with faulty vertices and edges. 2016-01-01.

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