Comparison Sorting Algorithms Complexity: Difference between revisions
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=Theorem= | =Theorem= | ||
Every comparison-based sorting algorithm has worst-case running time Ω(n log n). We assume deterministic but lower bound extends to randomized. | Every [[Sorting_Algorithms#Key_Comparison_Sorting_Algorithms|comparison-based sorting algorithm]] has worst-case running time Ω(n log n). We assume deterministic but lower bound extends to randomized. |
Latest revision as of 01:05, 28 September 2021
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Overview
TODO: comparison sorting cannot perform better than n lg n. The worst-case running time of a comparison algorithm is Ω(n log n).
CLRS page 193.
Theorem
Every comparison-based sorting algorithm has worst-case running time Ω(n log n). We assume deterministic but lower bound extends to randomized.