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2004 International Symposium on Parallel Architectures, Algorithms and Networks (ISPAN'04)
Ring Embedding in Faulty Augmented Cubes
Hong Kong, SAR, China
May 10-May 12
ISBN: 0-7695-2135-5
Hong-Chun Hsu, Providence University, Taiwan
Liang-Chih Chiang, National Chiao Tung University, Taiwan
Jimmy J. M. Tan, National Chiao Tung University, Taiwan
Lih-Hsing Hsu, National Chiao Tung University, Taiwan
In this paper, we consider the fault hamiltonicity and the fault hamiltonian connectivity of the augmented cubes AQ{n}. Assume that F ⊆ V(AQ{n}) ∪ E(AQ{n}) and n ≥ 4. We prove that AQ{n} - F is hamiltonian if |F| ≤ 2n - 3 and that AQ{n} - F is hamiltonian connected if |F| ≤ 2n - 4. Moreover, these bounds are tight.
Index Terms:
fault-tolerant, hamiltonian, hamiltonian connected, augmented cubes
Citation:
Hong-Chun Hsu, Liang-Chih Chiang, Jimmy J. M. Tan, Lih-Hsing Hsu, "Ring Embedding in Faulty Augmented Cubes," ispan, pp.155, 2004 International Symposium on Parallel Architectures, Algorithms and Networks (ISPAN'04), 2004
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