||It has been suggested that this article be merged into Cycle (mathematics). (Discuss) Proposed since June 2014.|
The term circular permutation has the modern meaning of a permutation of objects arranged in a circle (without a distinguished starting object), but in older texts it was used as a synonym for cyclic permutation.
The notion of a "cyclic permutation" may be used in slightly different ways depending on whether the author does or does not want to include fixed points,
Some authors restrict the definition to only those permutations which have precisely one cycle (that is, no fixed points allowed).
- Cyclic permutation of integer
- Cycle notation
- Cycles and fixed points
- Caesar cipher
- Circular permutation in proteins
- Carmichael, Robert D. (1956) , Introduction to the theory of Groups of Finite Order, Dover, p. 7, ISBN 0-486-60300-8 Carmichael uses the terms "cyclic" and "circular permutation" as synonyms.
- Bogart, Kenneth P. (1990), Introductory Combinatorics (2nd ed.), Harcourt, Brace, Jovanovich, p. 486, ISBN 0-15-541576-X
- Gross, Jonathan L. (2008), Combinatorial Methods with Computer Applications, Chapman & Hall/CRC, p. 29, ISBN 978-1-58488-743-0