Steinhaus–Johnson–Trotter algorithm (All Permutations All Permutations): Difference between revisions

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(Created page with "== Time Complexity == $O(n)$ on specific permutations == Space Complexity == $O({1})$ auxiliary words (Determining $x_i$ and $y_i$ each iteration can be done in constant space) == Description == == Approximate? == Exact == Randomized? == No, deterministic == Model of Computation == Word RAM == Year == 1963 == Reference == https://www.ams.org/journals/mcom/1963-17-083/S0025-5718-1963-0159764-2/home.html")
 
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== Space Complexity ==  
== Space Complexity ==  


$O({1})$ auxiliary words
$O({1})$ words


(Determining $x_i$ and $y_i$ each iteration can be done in constant space)
(Determining $x_i$ and $y_i$ each iteration can be done in constant space)

Latest revision as of 09:40, 10 April 2023

Time Complexity

$O(n)$ on specific permutations

Space Complexity

$O({1})$ words

(Determining $x_i$ and $y_i$ each iteration can be done in constant space)

Description

Approximate?

Exact

Randomized?

No, deterministic

Model of Computation

Word RAM

Year

1963

Reference

https://www.ams.org/journals/mcom/1963-17-083/S0025-5718-1963-0159764-2/home.html