# bubble sort

(algorithm)

**Definition:**
Sort by comparing each adjacent pair of items in a *list* in turn, swapping the items if necessary, and repeating the pass through the list until no swaps are done.

**Also known as** sinking sort, exchange sort.

**Generalization** (I am a kind of ...)

*in-place sort*, *stable* *sort*.

**See also**
*gnome sort*, *bidirectional bubble sort*.

*Note:
Complexity is **O(n*^{2}) for arbitrary data, but approaches *Θ(n)* if the list is nearly in order at the beginning. Bidirectional bubble sort usually does better since at least one item is moved forward or backward to its place in the list with each pass. Gnome sort optimizes the moving forward and backward instead of blindly looping through all items.

*
* Since at least one item is moved into its final place for each pass, an improvement is to decrement the last position checked on each pass.

* The name "sinking sort" comes from elements sinking down to their proper position. Contributed by Ken Tata (Ken.Tata@onsemi.com) 22 December 2000. After LK.*

Author: PEB

## Implementation

demonstration and source code (Java) - but code might not render properly. Algorithms and Data Structures' explanation (Java and C++). (Rexx).
## More information

animation of many sorting algorithms; animation (Java).

**Marvin V. Zelkowitz**, *Principles of Software Engineering and Design*, Prentice-Hall, page 107, 1979.

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Dictionary of Algorithms and Data
Structures home page.

If you have suggestions, corrections, or comments, please get in touch
with Paul Black.

Entry modified 24 August 2009.

HTML page formatted Mon Feb 2 13:10:39 2015.

Cite this as:

Paul E. Black, "bubble sort", in
*Dictionary of Algorithms and Data Structures* [online], Vreda Pieterse and Paul E. Black, eds. 24 August 2009. (accessed TODAY)
Available from: http://www.nist.gov/dads/HTML/bubblesort.html