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Functional and topological relations among banyan multistage networks of differing switch sizes

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2 Author(s)
Youssef, A. ; Dept. of Electr. Eng. & Comput. Sci., George Washington Univ., Washington, DC, USA ; Arden, B.

Relations among banyan multistage interconnection networks (MINs) of differing switch sizes are studied. If two N×N networks W and W' have switch sizes r and s, respectively, and if r>s, then W realizes a larger number of permutations than W'. Consequently, the two networks can never be equivalent. However, W may realize all the permutations of W', in which case W is said to functionally cover W' in the strict sense. More generally, W is said to functionally cover W' in the wide sense if the terminals of W can be relabeled so that W realizes all the permutations of W'. Functional covering is topologically characterized, and an optimal algorithm to decide strict functional covering is developed

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Parallel and Distributed Systems, IEEE Transactions on  (Volume:4 ,  Issue: 2 )