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- W1544337568 abstract "Lower bound complexities are derived for three intensive communication patterns assuming a balanced generalized hypercube (BGHC) topology. The BGHC is a generalized hypercube that has exactly w nodes along each of the d dimensions for a total of w/sup d/ nodes. A BGHC is said to be dense if the w nodes along each dimension form a complete directed graph. A BGHC is said to be sparse if the w nodes along each dimension form a unidirectional ring. It is shown that a dense N node BGHC with a node degree equal to Klog/sub 2/N, where K>or=2, can process certain intensive communication patterns K(K-1) times faster than an N node binary hypercube (which has a node degree equal to log/sub 2/N). Furthermore, a sparse N node BGHC with a node degree equal to /sup 1///sub L/log/sub 2/N, where L>or=2, is 2/sup L/ times slower at processing certain intensive communication patterns than an N node binary hypercube. >" @default.
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- W1544337568 date "2002-12-31" @default.
- W1544337568 modified "2023-09-27" @default.
- W1544337568 title "Complexity of intensive communications on balanced generalized hypercubes" @default.
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- W1544337568 doi "https://doi.org/10.1109/ipps.1993.262914" @default.
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