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Author Ives, F. M.
Source ACM Digital Library
Content type Text
Publisher Association for Computing Machinery (ACM)
File Format PDF
Language English
Subject Keyword Permutations ♦ Loop-free algorithms
Abstract Classical permutation enumeration algorithms encounter special cases requiring additional computation every nth permutation when generating the n! permutations on n marks. Four new algorithms have the attribute that special cases occur every n(n—1) permutations. Two of the algorithms produce the next permutation with a single exchange of two marks. The other two algorithms infrequently exchange more than two marks, but the rules for generating the next permutation are very simple. Performance tests which have counted execution of assignment statements, comparisons, arithmetic operations, and subscripted array references have shown superiority of the new algorithms compared to Boothroyd's implementation of M.B. Well's algorithm and Ehrlich's implementation of the Johnson-Trotter algorithm.
Description Affiliation: Western Washington State College, Bellingham (Ives, F. M.)
Age Range 18 to 22 years ♦ above 22 year
Educational Use Research
Education Level UG and PG
Learning Resource Type Article
Publisher Date 2005-08-01
Publisher Place New York
Journal Communications of the ACM (CACM)
Volume Number 19
Issue Number 2
Page Count 5
Starting Page 68
Ending Page 72

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Source: ACM Digital Library