Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
393821 | Information Sciences | 2011 | 10 Pages |
Abstract
The n-dimensional locally twisted cube LTQn is a new variant of the hypercube, which possesses some properties superior to the hypercube. This paper investigates the fault-tolerant edge-pancyclicity of LTQn, and shows that if LTQn (n ⩾ 3) contains at most n − 3 faulty vertices and/or edges then, for any fault-free edge e and any integer ℓ with 6 ⩽ ℓ ⩽ 2n − fv, there is a fault-free cycle of length ℓ containing the edge e, where fv is the number of faulty vertices. The result is optimal in some senses. The proof is based on the recursive structure of LTQn.
Related Topics
Physical Sciences and Engineering
Computer Science
Artificial Intelligence
Authors
Xirong Xu, Wenhua Zhai, Jun-Ming Xu, Aihua Deng, Yuansheng Yang,