On Three-Dimensional Layout of Interconnection Networks (Extended Abstract)
Calamoneri, Tiziana and Massini, Annalisa (1998) On Three-Dimensional Layout of Interconnection Networks (Extended Abstract). In: Graph Drawing 5th International Symposium, GD '97, September 18-20, 1997, Rome, Italy , pp. 64-75 (Official URL: http://dx.doi.org/10.1007/3-540-63938-1_51).
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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. The 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.
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