Difference between revisions of "Complexities of Basic Sorting Algorithms"

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|$\theta(n^{2})$
 
|$\theta(n^{2})$
 
|$\theta(n^{2})$
 
|$\theta(n^{2})$
−
|$\theta(n)$ \n(when array is sorted)
+
|$\theta(n)$ (when array is sorted)
 
|-
 
|-
 
|Quick
 
|Quick

Revision as of 12:21, 8 December 2013

Algorithm Worst Case Average Case Best Case
Bubble $\theta(n^{2})$ $\theta(n^{2})$ $\theta(n^{2})$
Selection $\theta(n^{2})$ $\theta(n^{2})$ $\theta(n^{2})$
Insertion $\theta(n^{2})$ $\theta(n^{2})$ $\theta(n)$ (when array is sorted)
Quick $\theta(n^{2})$ (when array is sorted, and pivot taken from one end) $\theta(nlgn)$ $\theta(nlgn)$
Merge $\theta(nlgn)$ $\theta(nlgn)$ $\theta(nlgn)$
Heap $\theta(nlgn)$ $\theta(nlgn)$ $\theta(nlgn)$
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Algorithm Worst Case Average Case Best Case
Bubble $\theta(n^{2})$ $\theta(n^{2})$ $\theta(n^{2})$
Selection $\theta(n^{2})$ $\theta(n^{2})$ $\theta(n^{2})$
Insertion $\theta(n^{2})$ $\theta(n^{2})$ $\theta(n)$ \n(when array is sorted)
Quick $\theta(n^{2})$ (when array is sorted, and pivot taken from one end) $\theta(nlgn)$ $\theta(nlgn)$
Merge $\theta(nlgn)$ $\theta(nlgn)$ $\theta(nlgn)$
Heap $\theta(nlgn)$ $\theta(nlgn)$ $\theta(nlgn)$