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Fault-tolerant vertex-pancyclicity of locally twisted cubes LTQ(n)

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Indexed by:期刊论文

Date of Publication:2016-02-01

Journal:JOURNAL OF PARALLEL AND DISTRIBUTED COMPUTING

Included Journals:SCIE、EI

Volume:88

Page Number:57-62

ISSN No.:0743-7315

Key Words:Locally twisted cubes; Vertex-pancyclicity; Fault-tolerant

Abstract:The n-dimensional locally twisted cube LTQ(n), is a variant of the hypercube, which possesses some properties superior to the hypercube. This paper investigates the fault-tolerant vertex-pancyclicity of LTQ(n), and shows that if LTQ(n) (n >= 3) contains at most n - 3 faulty vertices and/or edges then, for any fault-free vertex u and any integer with 4 <= l <= 2(n) - f(v), except for 5, there is a fault-free cycle of length l containing the vertex u, where f(v) is the number of faulty vertices. The result is optimal in some senses. (C) 2015 Elsevier Inc. All rights reserved.

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