ملخص
The k-ary n-cube has been used as the underlying topology for most practical multicomputers, and has been extensively studied in the past. In this paper, we investigate some properties of this network. In particular, we study the problem of finding the number of nodes located i hops away from a given node (surface area) and the number of nodes located within i hops away from a given node (volume) in both the unidirectional and bidirectional k-ary n-cube, and have derived exact expressions calculating these numbers. These results are very useful when studying, for example, the spanning tree structure of the k-ary n-cube and the problem of resource placement in this network.
اللغة الأصلية | English |
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عنوان منشور المضيف | Proceedings of the Internatoinal Conference on Parallel and Distributed Systems - ICPADS |
الصفحات | 517-524 |
عدد الصفحات | 8 |
حالة النشر | Published - 2001 |
الحدث | 8th International Conference on Parallel and Distributed Systems - Kyongju, Korea, Republic of المدة: يونيو ٢٦ ٢٠٠١ → يونيو ٢٩ ٢٠٠١ |
Other
Other | 8th International Conference on Parallel and Distributed Systems |
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الدولة/الإقليم | Korea, Republic of |
المدينة | Kyongju |
المدة | ٦/٢٦/٠١ → ٦/٢٩/٠١ |
ASJC Scopus subject areas
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