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The problem of calculating the combinatorial power of certain SW-banyan networks is related to a problem of enumerating certain matrices. Examples of two- and three-stage networks are used to demonstrate the technique. In each case, a polynomial-time algorithm is found to solve the problem. The results are presented for each case and certain asymptotic behavior is noted.
two-stage networks; combinatorial power; SW-banyan networks; matrices; three-stage networks; polynomial-time algorithm; asymptotic behavior; computational complexity; graph theory; matrix algebra.
S.C. Kothari, R.S. Roberts, "On Computing the Combinatorial Power of SW-Banyan Networks", IEEE Transactions on Computers, vol. 38, no. , pp. 761-765, May 1989, doi:10.1109/12.24281
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