Fault-tolerant vertex-pancyclicity of locally twisted cubes LTQn

作者：Xu, Xirong^*; Huang, Yazhen; Zhang, Peng; Zhang, Sijia

来源：Journal of Parallel and Distributed Computing, 2016, 88: 57-62.

DOI：10.1016/j.jpdc.2015.11.002

• Locally twisted cubes
• Vertex-pancyclicity
• Fault-tolerant

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.

• 出版日期2016-2
• 单位大连医科大学; 大连理工大学; 中山大学