Cyclic Permutations (Generating Random Permutations)

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Revision as of 10:21, 15 February 2023 by Admin (talk | contribs) (Created page with "{{DISPLAYTITLE:Cyclic Permutations (Generating Random Permutations)}} == Description == Given an input string/array, generate a single random cyclic permutation of the characters/elements of the string/array. == Related Problems == Related: General Permutations == Parameters == <pre>n: number of elements</pre> == Table of Algorithms == {| class="wikitable sortable" style="text-align:center;" width="100%" ! Name !! Year !! Time !! Space !! Approximation...")
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Description

Given an input string/array, generate a single random cyclic permutation of the characters/elements of the string/array.

Related Problems

Related: General Permutations

Parameters

n: number of elements

Table of Algorithms

Name Year Time Space Approximation Factor Model Reference
Sattolo's algorithm 1986 $O(n)$ $O({1})$ Exact Randomized Time

Time Complexity graph

Generating Random Permutations - Cyclic Permutations - Time.png

Space Complexity graph

Generating Random Permutations - Cyclic Permutations - Space.png

Pareto Decades graph

Generating Random Permutations - Cyclic Permutations - Pareto Frontier.png