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Published in:
1997 | ReviewPaper | Chapter
On three-dimensional layout of interconnection networks
Extended abstract
Authors : Tiziana Calamoneri, Annalisa Massini
Published in: Graph Drawing
Publisher: Springer Berlin Heidelberg
Included in: Professional Book Archive
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In this paper we deal with the layout of interconnection networks on three-dimensional grids. In particular, in the first part we prove a general formula for calculating an exact value for the lower bound on the volume. Then we introduce the new notion of k-3D double channel routing and we use it to exhibit an optimal three-dimensional layout for butterfly networks. Finally, we show a method to lay out multigrid and X-tree networks in optimal volume.