A Unified Framework to Discover Permutation Generation Algorithms

Author:

Ganapathi Pramod1,Chowdhury Rezaul1

Affiliation:

1. State University of New York at Stony Brook, New York, USA

Abstract

Abstract We present two simple, intuitive and general algorithmic frameworks that can be used to design a wide variety of permutation generation algorithms. The frameworks can be used to produce 19 existing permutation algorithms, including the well-known algorithms of Heap, Wells, Langdon, Zaks, Tompkins and Lipski. We use the frameworks to design two new sorting-based permutation generation algorithms, one of which is optimal.

Funder

National Science Foundation

Publisher

Oxford University Press (OUP)

Subject

General Computer Science

Reference36 articles.

1. Permutation generation methods;Sedgewick;ACM Computing Surveys,1977

2. Loopless generation of multiset permutations using a constant number of variables by prefix shifts;Williams;Proc. Symposium on Discrete Algorithms,2009

3. Generation of permutations by transposition;Wells;Mathematics of Computation,1961

4. Permutations by interchanges;Heap;The Computer Journal,1963

5. Permutation enumeration: four new permutation algorithms;Ives;Communications of the ACM,1976

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