Release Time:2019-03-13  Hits:

Indexed by: Journal Article

Date of Publication: 2016-02-01

Journal: JOURNAL OF PARALLEL AND DISTRIBUTED COMPUTING

Included Journals: EI、SCIE

Volume: 88

Page Number: 57-62

ISSN: 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.