在有缺陷的增广立方体中嵌入环

7th International Symposium on Parallel Architectures, Algorithms and Networks, 2004. Proceedings. Pub Date : 2004-05-10 DOI:10.1109/ISPAN.2004.1300474

Hong-Chun Hsu, Liang-Chih Chiang, Jimmy J. M. Tan, Lih-Hsing Hsu

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引用次数: 3

摘要

本文考虑增广立方体AQ/ subn /的故障哈密顿性和故障哈密顿连通性。假设F /spl sub / V(AQ/sub n/) /spl cup/ E(AQ/sub n/)和n/ spl ges/ 4。证明了AQ/下标n/ - F在|F| /spl les/ 2n-3时是哈密顿函数，证明了AQ/下标n/ - F在|F| /spl les/ 2n- 4时是哈密顿连通函数。此外，这些界限是严格的。

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Ring embedding in faulty augmented cubes

In this paper, we consider the fault hamiltonicity and the fault Hamiltonian connectivity of the augmented cubes AQ/sub n/. Assume that F /spl sube/ V(AQ/sub n/) /spl cup/ E(AQ/sub n/) and n /spl ges/ 4. We prove that AQ/sub n/ - F is Hamiltonian if |F| /spl les/ 2n-3 and that AQ/sub n/ - F is Hamiltonian connected if |F| /spl les/ 2n - 4. Moreover, these bounds are tight.

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7th International Symposium on Parallel Architectures, Algorithms and Networks, 2004. Proceedings.

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