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  2. Circular permutation in proteins - Wikipedia

    en.wikipedia.org/wiki/Circular_permutation_in...

    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.

  3. File:Circular Permutation in Proteins - journal.pcbi.1002445.pdf

    en.wikipedia.org/wiki/File:Circular_Permutation...

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  4. Cyclic permutation - Wikipedia

    en.wikipedia.org/wiki/Cyclic_permutation

    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 ...

  5. Permutation - Wikipedia

    en.wikipedia.org/wiki/Permutation

    Download as PDF; Printable version; ... Two circular permutations are equivalent if one can be rotated into the other. ... For example, the permutation 2453167 has ...

  6. Cyclic order - Wikipedia

    en.wikipedia.org/wiki/Cyclic_order

    A circular order on the disjoint union L 1 ∪ L 2 ∪ {–∞, ∞} is defined by ∞ < L 1 < –∞ < L 2 < ∞, where the induced ordering on L 1 is the opposite of its original ordering. For example, the set of all longitudes is circularly ordered by joining all points west and all points east, along with the prime meridian and the 180th ...

  7. Category:Permutations - Wikipedia

    en.wikipedia.org/wiki/Category:Permutations

    Download as PDF; Printable version; ... Pages in category "Permutations" ... Circular permutation in proteins; Claw-free permutation;

  8. Pólya enumeration theorem - Wikipedia

    en.wikipedia.org/wiki/Pólya_enumeration_theorem

    The set X may represent a finite set of beads, and G may be a chosen group of permutations of the beads. For example, if X is a necklace of n beads in a circle, then rotational symmetry is relevant so G is the cyclic group C n, while if X is a bracelet of n beads in a circle, rotations and reflections are relevant so G is the dihedral group D n ...

  9. Permutation pattern - Wikipedia

    en.wikipedia.org/wiki/Permutation_pattern

    In combinatorial mathematics and theoretical computer science, a (classical) permutation pattern is a sub-permutation of a longer permutation.Any permutation may be written in one-line notation as a sequence of entries representing the result of applying the permutation to the sequence 123...; for instance the sequence 213 represents the permutation on three elements that swaps elements 1 and 2.