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Realizing frequently used permutations on gamma interconnection network’s family networks with the help of alternate source

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Abstract

This paper proposes a new variant of Gamma Interconnection Network (GIN), which uses an alternate source at the initial stage. The alternate source helped in realizing the Bit Reversal permutation completely in one pass. The paper also proposes a modified permutation realization algorithm, which is being used to realize the frequently used permutations on GIN family of networks. This algorithm also ensures that the alternate source approach can be used with all the GIN family networks with sizes \(\ge \)8 to realize the frequently used permutations. The paper also discusses the performance of the modified algorithm in terms of hop count required to realize the permutations as well as the effect on hardware cost due to alternate source.

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The authors declare that they have no conflict of interest.

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Correspondence to Nitin.

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Borkar, M., Nitin Realizing frequently used permutations on gamma interconnection network’s family networks with the help of alternate source. J Supercomput 71, 4327–4351 (2015). https://doi.org/10.1007/s11227-015-1527-4

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Keywords

  • Permutation realization
  • Permutation passable
  • Permutation passing algorithm
  • Frequently used permutations