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The permutation by duplication mechanism for producing a circular permutation. First, a gene 1-2-3 is duplicated to form 1-2-3-1-2-3. Next, a start codon is introduced before the first domain 2 and a stop codon after the second domain 1, removing redundant sections and resulting in a circularly permuted gene 2-3-1.
A cyclic permutation consisting of a single 8-cycle. There is not widespread consensus about the precise definition of a cyclic permutation. Some authors define a permutation σ of a set X to be cyclic if "successive application would take each object of the permuted set successively through the positions of all the other objects", [1] or, equivalently, if its representation in cycle notation ...
Download as PDF; Printable version; ... Pages in category "Permutations" ... Circular permutation in proteins; Claw-free permutation;
There are a few equivalent ways to state this definition. A cyclic order on X is the same as a permutation that makes all of X into a single cycle, which is a special type of permutation - a circular permutation. Alternatively, a cycle with n elements is also a Z n-torsor: a set with a free transitive action by a finite cyclic group. [1]
An arrangement of distinct objects in a circular manner is called a circular permutation. [ 39 ] [ e ] These can be formally defined as equivalence classes of ordinary permutations of these objects, for the equivalence relation generated by moving the final element of the linear arrangement to its front.
Download as PDF; Printable version; From Wikipedia, the free encyclopedia. Redirect page. Redirect to: Circular permutation in proteins; Retrieved from " ...
Alternating permutation; Circular shift; Cyclic permutation; Derangement; Even and odd permutations—see Parity of a permutation; Josephus permutation; Parity of a permutation; Separable permutation; Stirling permutation; Superpattern; Transposition (mathematics) Unpredictable permutation