Optimal three-dimensional layout of interconnection networks

@article{Calamoneri2001OptimalTL,
  title={Optimal three-dimensional layout of interconnection networks},
  author={Tiziana Calamoneri and Annalisa Massini},
  journal={Theor. Comput. Sci.},
  year={2001},
  volume={255},
  pages={263-279}
}
The main bene1ts of a three-dimensional layout of interconnection networks are the savings in material (measured as volume) and the shortening of wires. The result presented in this paper is a general formula for calculating a lower bound on the volume. Moreover, for butter3y and X-tree networks we show layouts optimizing the maximum wire length and whose upper bounds on the volume are close to the lower bounds. c © 2001 Elsevier Science B.V. All rights reserved. 

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