theoretical computer science, a (classical) permutation pattern is a sub-permutation of a longer permutation. Any permutation may be written in one-line notation...
31 KB (3,647 words) - 17:28, 26 May 2025
Levi-Civita symbol List of permutation topics Major index Permutation category Permutation group Permutation pattern Permutation representation (symmetric...
77 KB (11,671 words) - 17:13, 8 June 2025
Permutation Patterns is an annual international academic conference focusing on permutation patterns and their applications in combinatorics, computer...
8 KB (310 words) - 23:49, 4 June 2025
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) - 18:22, 26 May 2025
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
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) - 18:23, 26 May 2025
Combinatorial class (section Permutation patterns)
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
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
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 (618 words) - 12:42, 26 May 2025
In the study of permutation patterns, there has been considerable interest in enumerating specific permutation classes, especially those with relatively...
30 KB (1,400 words) - 16:30, 4 June 2025
Gilbreath shuffle (redirect from Gilbreath permutation)
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
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
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) - 12:31, 26 May 2025
Permutation graph Permutation pattern Permutation polynomial Permutohedron Rencontres numbers Robinson–Schensted correspondence Sum of permutations:...
4 KB (282 words) - 11:52, 17 July 2024
Affine symmetric group (redirect from Affine permutation)
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 (10,250 words) - 02:22, 13 June 2025
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) - 21:04, 14 April 2025
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) - 04:58, 8 June 2025
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 (973 words) - 17:38, 19 May 2025
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 (1,179 words) - 15:57, 18 May 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
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
are called order types. Permutation pattern, a permutation that is order-isomorphic to a subsequence of another permutation Bloch (2011); Ciesielski...
8 KB (1,061 words) - 17:31, 22 December 2024
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...
40 KB (6,013 words) - 02:24, 6 June 2025
Changsoo; Lee, Sang Wook; Park, Rae-Hong (2012). "Colour-stripe permutation pattern for rapid structured-light range imaging". Optics Communications...
22 KB (2,746 words) - 00:49, 15 March 2025
Stanley–Wilf conjecture (category Permutation patterns)
for every permutation β, there is a constant C such that the number |Sn(β)| of permutations of length n which avoid β as a permutation pattern is at most...
9 KB (1,019 words) - 09:59, 26 June 2024
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
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 (851 words) - 15:01, 29 May 2025
mathematician and computer scientist known for his work in the theory of permutation patterns and for contributions to algorithm design, data structures, and algebra...
8 KB (772 words) - 04:51, 29 May 2025
Changsoo; Lee, Sang Wook; Park, Rae-Hong (2012). "Colour-stripe permutation pattern for rapid structured-light range imaging". Optics Communications...
14 KB (2,241 words) - 18:20, 25 May 2025