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    Electronic Resource
    Electronic Resource
    A block matrix representation of permutation networks (1982)
    Springer
    Circuits, systems and signal processing 1 (1982), S. 251-266 
    Details
    ISSN: 1531-5878
    Source: Springer Online Journal Archives 1860-2000
    Topics: Electrical Engineering, Measurement and Control Technology
    Notes: Abstract This work provides a mathematical framework for topologically-independent analysis of permutation networks. First, a structure-dependent representation is provided using matrices whose entries are switching expressions. Then, a transformation is presented which maps these matrices into structure-independent representations which are matrices whose entries are 0/1 matrices. Algebraic tools for manipulating the second type of matrices are also provided. Notions such as permutations realizable by a network, the rearrangeability property, and series and parallel connections of networks are defined and discussed with regard to the proposed representations.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01600055
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