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Pin-efficient networks for cubic neighborhoods

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2 Author(s)
Fiduccia, Charles M. ; Supercomputing Res. Center, Bowie, MD, USA ; Rappoport, K.J.

Pin-efficient bussed network families are discussed that can-in one clock tick-simultaneously shift all data in a k-dimensional grid to neighboring processors in any one of the 3k-1 `compass directions' x&oarr;→x&oarr;+δ&oarr;, for every nonzero vector δ&oarr; ∈ {-1,0,1}k. The networks have the advantages of being simple to describe (using a single 5-state automaton), extendible (the k-dimensional network is obtained by extending the busses of the (k-1)-dimensional network), and provably optimal for k⩽3. The networks use only [3/2(√3)k] pins per processor, which is within 3/2 of the theoretical minimum number of pins required. The best previously known family uses 2k pins

Published in:

Parallel and Distributed Processing, 1994. Proceedings. Sixth IEEE Symposium on

Date of Conference:

26-29 Oct 1994