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A theory of decomposition into prime factors of layered interconnection networks
Authors:Azaria Paz
Affiliation:
  • Computer Science Department, Technion - IIT, Haifa, 32000, Israel
  • Abstract:The cross-product technique, introduced by Even and Litman (1992) [8], is extended into a full decomposition theory enabling a unique (up to isomorphism) and polynomial factorization of layered interconnection networks (including many well-known networks) into a product of prime factors. A polynomial algorithm is provided for checking whether a given layered interconnection network is isomorphic to a network that is uniquely decomposable into prime factors.
    Keywords:Graph cross-product   Graph decomposition   Layered interconnection networks   Prime graph factors
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