Cyclic Permutations: Difference between revisions

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[[File:Generating Random Permutations - Cyclic Permutations - Space.png|1000px]]
[[File:Generating Random Permutations - Cyclic Permutations - Space.png|1000px]]


== Space-Time Tradeoff Improvements ==  
== Time-Space Tradeoff ==  


[[File:Generating Random Permutations - Cyclic Permutations - Pareto Frontier.png|1000px]]
[[File:Generating Random Permutations - Cyclic Permutations - Pareto Frontier.png|1000px]]

Revision as of 15:44, 15 February 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

Space Complexity Graph

Generating Random Permutations - Cyclic Permutations - Space.png

Time-Space Tradeoff

Generating Random Permutations - Cyclic Permutations - Pareto Frontier.png