All Permutations: Difference between revisions
Jump to navigation
Jump to search
No edit summary |
No edit summary |
||
Line 27: | Line 27: | ||
[[File:All Permutations - Time.png|1000px]] | [[File:All Permutations - Time.png|1000px]] | ||
Latest revision as of 09:07, 28 April 2023
Description
Generate all permuttaions of the characters/elements in a string/array.
Parameters
$n$: number of elements
Table of Algorithms
Name | Year | Time | Space | Approximation Factor | Model | Reference |
---|---|---|---|---|---|---|
Steinhaus–Johnson–Trotter algorithm | 1963 | $O(n)$ on specific permutations | $O({1})$ | Exact | Deterministic | Time |
Tompkins–Paige algorithm | 1956 | $O(n)$ on specific permutations | $O(n)$ | Exact | Deterministic | Time |
Heap's algorithm | 1963 | $O(n)$ per permutation | $O(n)$ | Exact | Deterministic | Time |