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The higher radix hypercube as an interconnection and virtual network

Published: 21 February 1989 Publication History

Abstract

The HIGHER RADIX HYPERCUBE (HRH) is investigated in this paper as an interconnection network for multiprocessors as well as a virtual network. The HRH is based on a radix higher than two, the radix for the hypercube. We have compared several topological parameters' for the HRH with the hypercube. It can be seen that HRH provides smaller diameter for a small price. A mapping and a partitioning algorithms are proposed for mapping different topologies to the HRH. In our algorithm, we first map the problem topology to a virtual HRH, which is the most natural HRH for the problem. The virtual HRH is then transformed into the actual topology. This algorithm is applicable to HRH used either as an interconnection or a virtual network. The partitioning algorithm reduces a large application topology to the required size by the iterative reduction process. Three examples of mapping topologies onto the HRH are also presented.

References

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cover image ACM Conferences
CSC '89: Proceedings of the 17th conference on ACM Annual Computer Science Conference
February 1989
121 pages
ISBN:0897912993
DOI:10.1145/75427
Permission to make digital or hard copies of all or part of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for components of this work owned by others than ACM must be honored. Abstracting with credit is permitted. To copy otherwise, or republish, to post on servers or to redistribute to lists, requires prior specific permission and/or a fee. Request permissions from [email protected]

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Published: 21 February 1989

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