All Permutations: Difference between revisions
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[[File:All Permutations - Space.png|1000px]] | [[File:All Permutations - Space.png|1000px]] | ||
== Space | == Time-Space Tradeoff == | ||
[[File:All Permutations - Pareto Frontier.png|1000px]] | [[File:All Permutations - Pareto Frontier.png|1000px]] | ||
Revision as of 14:44, 15 February 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 | $O({1})$ auxiliary | Exact | Deterministic | Time |
| Tompkins–Paige algorithm | 1956 | $O(n)$ on specific permutations | $O(n)$ auxiliary | Exact | Deterministic | Time |
| Heap's algorithm | 1963 | $O(n)$ per permutation | $O(n)$ auxiliary | Exact | Deterministic | Time |
Time Complexity Graph
Space Complexity Graph
Time-Space Tradeoff
