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Permutation tableaux and permutation patterns

open access: yesJournal of Combinatorial Theory - Series A, 2007
Clarification of proofs (thanks to referees); report on progress on our open problems by Burstein, Corteel, Eriksen, Reifegerste, and Viennot. 25 pages, 7 figures.
Einar Steingrı́Msson
exaly   +4 more sources

Simple permutations and pattern restricted permutations

open access: yesDiscrete Mathematics, 2005
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
M D Atkinson
exaly   +3 more sources
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Permuting in Place

SIAM Journal on Computing, 1995
This paper addresses the fundamental problem of permuting the elements of an array of $n$ elements according to some given permutation. Our goal is to perform the permutation quickly using only a polylogarithmic number of bits of extra storage. The main result is an algorithm whose worst case running time is $O(n \log n)$ and that uses $O(\log n ...
Faith E. Fich   +2 more
openaire   +1 more source

Divide-and-permute [PDF]

open access: possibleGames and Economic Behavior, 2005
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +1 more source

Array Permutation by Index-Digit Permutation

Journal of the ACM, 1976
An array may be reordered according to a common permutation of the digits of each of its element indices. The digit-reversed reordering which results from common fast Fourier transform (FFT) algorithms is an example. By examination of this class of permutation in detail, very efficient algorithms for transforming very long arrays are developed.
openaire   +1 more source

Sós Permutations

The American Mathematical Monthly, 2021
15 ...
Sarah Bockting-Conrad   +3 more
openaire   +1 more source

A Permutation Network

Journal of the ACM, 1968
In this paper the construction of a switching network capable of n !-permutation of its n input terminals to its n output terminals is described. The building blocks for this network are binary cells capable of permuting their two input terminals to their two output ...
openaire   +1 more source

Permutation enumeration

Communications of the ACM, 1976
Classical permutation enumeration algorithms encounter special cases requiring additional computation every nth permutation when generating the n! permutations on n marks. Four new algorithms have the attribute that special cases occur every n(n—1) permutations. Two of the algorithms produce the next permutation with a single exchange of two marks. The
openaire   +2 more sources

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