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article · International Journal of Computer Mathematics · 1991

Parallel permutation generation on linear array

Chau-Jy Lin

Cited by 6Abstract and details only

Abstract

Given n items, a parallel algorithm for generating all the n! permutations is presented. The computational model used is a linear array which consists of n identical processing elements with a simple structure. One permutation is produced at each other time step. The elapsed time to produce a permutation is independent of the integer n. The basic idea used is the iterative method and the exchange of two consecutive components in an existing permutation. The design procedures of this algorithm are considered in detail. The ranking and unranking functions of the required permutations are also discussed.

Cite this paper

APA 7

Lin, C.-J. (1991). Parallel permutation generation on linear array. International Journal of Computer Mathematics, 38(3-4), 113–121. https://doi.org/10.1080/00207169108803963

MLA 9

Lin, Chau-Jy. “Parallel permutation generation on linear array.” International Journal of Computer Mathematics, vol. 38, no. 3-4, 1991, pp. 113–21, https://doi.org/10.1080/00207169108803963.

Chicago

Lin, Chau-Jy. 1991. “Parallel permutation generation on linear array.” International Journal of Computer Mathematics 38 (3-4): 113–21. https://doi.org/10.1080/00207169108803963.

Harvard

Lin, C.-J. (1991) ‘Parallel permutation generation on linear array’, International Journal of Computer Mathematics, 38(3-4), pp. 113–121. Available at: https://doi.org/10.1080/00207169108803963.

BibTeX
@article{lin1991parallel,
  title = {{Parallel permutation generation on linear array}},
  author = {Lin, Chau-Jy},
  journal = {International Journal of Computer Mathematics},
  volume = {38},
  number = {3-4},
  pages = {113--121},
  year = {1991},
  doi = {10.1080/00207169108803963}
}

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