Cyclic Permutations: Difference between revisions

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(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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== Parameters ==  
== Parameters ==  


<pre>n: number of elements</pre>
$n$: number of elements


== Table of Algorithms ==  
== Table of Algorithms ==  
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== Time Complexity graph ==  
== Time Complexity Graph ==  


[[File:Generating Random Permutations - Cyclic Permutations - Time.png|1000px]]
[[File:Generating Random Permutations - Cyclic Permutations - Time.png|1000px]]
== Space Complexity graph ==
[[File:Generating Random Permutations - Cyclic Permutations - Space.png|1000px]]
== Pareto Decades graph ==
[[File:Generating Random Permutations - Cyclic Permutations - Pareto Frontier.png|1000px]]

Latest revision as of 09:07, 28 April 2023

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