• theoretical computer science, a (classical) permutation pattern is a sub-permutation of a longer permutation. Any permutation may be written in one-line notation...
    35 KB (4,037 words) - 21:57, 2 November 2024
  • Thumbnail for Permutation
    Levi-Civita symbol List of permutation topics Major index Permutation category Permutation group Permutation pattern Permutation representation (symmetric...
    78 KB (11,547 words) - 23:08, 24 November 2024
  • the mathematics of permutations and the study of shuffling playing cards, a riffle shuffle permutation is one of the permutations of a set of n {\displaystyle...
    7 KB (1,001 words) - 15:38, 30 July 2022
  • Equivalently, in terms of permutation patterns, the Gilbreath permutations are the permutations that avoid the two patterns 132 and 312. A Gilbreath shuffle...
    6 KB (957 words) - 17:06, 17 December 2024
  • empty set. In the study of permutation patterns, a combinatorial class of permutation classes, enumerated by permutation length, is called a Wilf class...
    5 KB (608 words) - 09:00, 26 April 2022
  • Thumbnail for Erdős–Szekeres theorem
    Erdős–Szekeres theorem (category Permutation patterns)
    of permutation patterns as stating that every permutation of length at least (r - 1)(s - 1) + 1 must contain either the pattern 12⋯r or the pattern s⋯21...
    10 KB (1,174 words) - 15:57, 18 May 2024
  • In combinatorial mathematics, a partial permutation, or sequence without repetition, on a finite set S is a bijection between two specified subsets of...
    5 KB (691 words) - 16:57, 6 November 2024
  • Permutation graph Permutation pattern Permutation polynomial Permutohedron Rencontres numbers Robinson–Schensted correspondence Sum of permutations:...
    4 KB (282 words) - 11:52, 17 July 2024
  • mathematics, a generalized permutation matrix (or monomial matrix) is a matrix with the same nonzero pattern as a permutation matrix, i.e. there is exactly...
    6 KB (899 words) - 16:15, 26 October 2024
  • In the study of permutation patterns, there has been considerable interest in enumerating specific permutation classes, especially those with relatively...
    29 KB (1,372 words) - 21:57, 2 November 2024
  • permutations that do not contain the permutation patterns 231 or 312. That is, no three elements in the permutation (regardless of whether they are consecutive)...
    5 KB (615 words) - 04:02, 1 July 2024
  • permutations and permutation patterns, a permutation class is a set C {\displaystyle C} of permutations for which every pattern within a permutation in...
    3 KB (448 words) - 09:51, 26 June 2024
  • data structure. The stack-sortable permutations are exactly the permutations that do not contain the permutation pattern 231; they are counted by the Catalan...
    12 KB (1,477 words) - 23:52, 7 November 2023
  • mathematics, a Baxter permutation is a permutation σ ∈ S n {\displaystyle \sigma \in S_{n}} which satisfies the following generalized pattern avoidance property:...
    7 KB (972 words) - 21:24, 15 December 2024
  • sum of permutations are two operations to combine shorter permutations into longer ones. Given a permutation π of length m and the permutation σ of length...
    5 KB (835 words) - 09:38, 24 September 2023
  • In the theory of permutation patterns, a skew-merged permutation is a permutation that can be partitioned into an increasing sequence and a decreasing...
    5 KB (603 words) - 03:39, 1 July 2024
  • mathematics, a vexillary permutation is a permutation μ of the positive integers containing no subpermutation isomorphic to the permutation (2143); in other words...
    2 KB (235 words) - 09:59, 26 June 2024
  • Thumbnail for Superpermutation
    Superpermutation (category Permutations)
    = 7 is still 5884. Superpattern, a permutation that contains each permutation of n symbols as a permutation pattern De Bruijn sequence, a similar problem...
    11 KB (1,202 words) - 06:04, 10 October 2024
  • Thumbnail for Affine symmetric group
    group S n {\displaystyle S_{n}} , a permutation is fully commutative if and only if it avoids the permutation pattern 321, that is, if and only if its one-line...
    71 KB (10,241 words) - 07:35, 7 December 2024
  • are called order types. Permutation pattern, a permutation that is order-isomorphic to a subsequence of another permutation Bloch (2011); Ciesielski...
    8 KB (1,056 words) - 17:31, 22 December 2024
  • Superpattern (redirect from Super-pattern)
    study of permutations and permutation patterns, a superpattern or universal permutation is a permutation that contains all of the patterns of a given...
    7 KB (778 words) - 15:15, 27 January 2024
  • Thumbnail for Zvezdelina Stankova
    Circle, and an expert in the combinatorial enumeration of permutations with forbidden patterns. Stankova was born in Ruse, Bulgaria. She began attending...
    11 KB (952 words) - 20:46, 28 October 2024
  • Thumbnail for Catalan number
    Cn is the number of permutations of {1, ..., n} that avoid the permutation pattern 123 (or, alternatively, any of the other patterns of length 3); that...
    39 KB (5,934 words) - 06:33, 16 December 2024
  • Thumbnail for Separable permutation
    the forbidden permutation patterns 2413 and 3142; they are also the permutations whose permutation graphs are cographs and the permutations that realize...
    11 KB (1,420 words) - 07:38, 22 July 2024
  • Thumbnail for Willow pattern
    pattern became the most popular and persistent of them, and in various permutations has remained in production to the present day. Characteristically the...
    15 KB (1,979 words) - 04:31, 17 September 2024
  • Wilf equivalence (category Permutation patterns)
    the study of permutations and permutation patterns, Wilf equivalence is an equivalence relation on permutation classes. Two permutation classes are Wilf...
    2 KB (155 words) - 02:17, 21 June 2018
  • Changsoo; Lee, Sang Wook; Park, Rae-Hong (2012). "Colour-stripe permutation pattern for rapid structured-light range imaging". Optics Communications...
    22 KB (2,814 words) - 19:56, 12 October 2024
  • Thumbnail for Heap's algorithm
    possible permutations of n objects. It was first proposed by B. R. Heap in 1963. The algorithm minimizes movement: it generates each permutation from the...
    13 KB (1,833 words) - 04:44, 8 October 2024
  • Thumbnail for Stirling permutation
    In combinatorial mathematics, a Stirling permutation of order k is a permutation of the multiset 1, 1, 2, 2, ..., k, k (with two copies of each value...
    4 KB (459 words) - 02:34, 4 December 2024
  • Thumbnail for Transposition cipher
    In cryptography, a transposition cipher (also known as a permutation cipher) is a method of encryption which scrambles the positions of characters (transposition)...
    25 KB (3,604 words) - 15:23, 5 November 2024