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13th International Conference on Parallel and Distributed Systems - Volume 1 (ICPADS'07)
Fault-free Hamiltonian cycles in locally twisted cubes under conditional edge faults
Hsinchu, Taiwan
December 05-December 07
ISBN: 978-1-4244-1889-3
null Sun-Yuan Hsieh, Computer Science and Information Engineering, National Cheng Kung University, No. 1, University Road, Tainan 70101, TAIWAN
null Chang-Yu Wu, Computer Science and Information Engineering, National Cheng Kung University, No. 1, University Road, Tainan 70101, TAIWAN
null Chia-Wei Lee, Computer Science and Information Engineering, National Cheng Kung University, No. 1, University Road, Tainan 70101, TAIWAN
The locally twisted cube is a variation of hypercube, which possesses some properties superior to the hypercube. In this paper, we investigate the edge-fault-tolerant hamiltoncity of an n-dimensional locally twisted cube, denoted by LTQn. We show that for any LTQn (n ≥ 3) with at most 2n − 5 faulty edges in which each node is incident to at least two fault-free edges, there exists a fault-free Hamiltonian cycle. We also demonstrate that our result is optimal with respect to the number of faulty edges tolerated.
Citation:
null Sun-Yuan Hsieh, null Chang-Yu Wu, null Chia-Wei Lee, "Fault-free Hamiltonian cycles in locally twisted cubes under conditional edge faults," icpads, vol. 1, pp.1-8, 13th International Conference on Parallel and Distributed Systems - Volume 1 (ICPADS'07), 2007
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