A theory of decomposition into prime factors of layered interconnection networks

  • Authors:
  • Azaria Paz

  • Affiliations:
  • -

  • Venue:
  • Discrete Applied Mathematics
  • Year:
  • 2011

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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.