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The Computer Journal 1998 41(1):52-56; doi:10.1093/comjnl/41.1.52
© 1998 by British Computer Society
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Tight Bounds on the Diameter of Gaussian Cubes

D.-M. Kwai and B. Parhami

Department of Electrical and Computer Engineering, University of California, Santa Barbara, CA 93106-9560, USA Email: parhami{at}ece.ucsb.edu

Gaussian cubes are derived by removing links from a hypercube in a periodic fashion. By varying the partition parameter, one can obtain networks with different characteristics, while maintaining a basic framework for computation and communication. Unfortunately, such networks are in general not regular, making it difficult to derive their topological properties explicitly. In this paper, we study the diameter of Gaussian cubes and show the trade-off between cost and performance.

Received February 2, 1997. revised November 20, 1997.


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