Generation of permutations following Lehmer and Howell-Reference-Cited by-同舟云学术

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Generation of permutations following Lehmer and Howell

Published:1984 Issue:168 Volume:43 Page:565-572
ISSN:0025-5718
Container-title:Mathematics of Computation
language:en
Short-container-title:Math. Comp.

Author:

Spoletini Enrico

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.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,Computational Mathematics,Algebra and Number Theory

Link

http://www.ams.org/mcom/1984-43-168/S0025-5718-1984-0758204-3/S0025-5718-1984-0758204-3.pdf

Reference5 articles.

1. Generation of permutations by addition;Howell, John R.;Math. Comp.,1962

2. J. R. Howell, "Algorithm 87: Permutation generator," Comm. ACM, v. 5, 1962, p. 209.

3. Teaching combinatorial tricks to a computer;Lehmer, D. H.,1960

4. Cambridge Computer Science Texts;Page, E. S.,1979

5. Permutation generation methods;Sedgewick, Robert;Comput. Surveys,1977

Cited by 1 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Identities from Partition of the Symmetric Group $${S\!}_n$$;Modular Forms and Related Topics in Number Theory;2020

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