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Mathematics of Computation
Mathematics of Computation
ISSN 1088-6842(online) ISSN 0025-5718(print)

 

Generation of permutations following Lehmer and Howell


Author: Enrico Spoletini
Journal: Math. Comp. 43 (1984), 565-572
MSC: Primary 05A05
MathSciNet review: 758204
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Abstract: This paper proves two formulas used to obtain, by an arithmetic method, both the next permutation with respect to a given one and the mth permutation, in lexicographic direct ordering.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0025-5718-1984-0758204-3
PII: S 0025-5718(1984)0758204-3
Keywords: Permutations, lexicographic ordering, lexicographic generation, permutation generation
Article copyright: © Copyright 1984 American Mathematical Society