Difference between revisions of "Template:List data structure comparison"

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(The last element is known in most implementations (keeping a tail pointer is cheap))
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|{{nowrap|Insert/delete}} at end
|style="background:#ffffdd"|Θ(''n'') when last {{nowrap|element is unknown}};<br/>Θ(1) when last {{nowrap|element is known}}
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|style="background:#ddffdd"|Θ(1) when last {{nowrap|element is known}};<br/>Θ(''n'') when last {{nowrap|element is unknown}}
 
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|style="background:#ddffdd"|Θ(1) [[Amortized analysis|amortized]]
 
|style="background:#ddffdd"|Θ(1) [[Amortized analysis|amortized]]

Revision as of 01:44, 24 February 2017

Comparison of list data structures
Linked list Array Dynamic array Balanced tree Random access list hashed array tree
Indexing Θ(n) Θ(1) Θ(1) Θ(log n) Θ(log n)[1] Θ(1)
Insert/delete at beginning Θ(1) N/A Θ(n) Θ(log n) Θ(1) Θ(n)
Insert/delete at end Θ(1) when last element is known;
Θ(n) when last element is unknown
N/A Θ(1) amortized Θ(log n) Θ(log n) updating Θ(1) amortized
Insert/delete in middle search time + Θ(1)[2][3][4] N/A Θ(n) Θ(log n) Θ(log n) updating Θ(n)
Wasted space (average) Θ(n) 0 Θ(n)[5] Θ(n) Θ(n) Θ(Template:Sqrt)

References

  1. Chris Okasaki (1995). "Purely Functional Random-Access Lists". Proceedings of the Seventh International Conference on Functional Programming Languages and Computer Architecture: 86–95. doi:10.1145/224164.224187.
  2. Gerald Kruse. CS 240 Lecture Notes: Linked Lists Plus: Complexity Trade-offs. Juniata College. Spring 2008.
  3. Day 1 Keynote - Bjarne Stroustrup: C++11 Style at GoingNative 2012 on channel9.msdn.com from minute 45 or foil 44
  4. Number crunching: Why you should never, ever, EVER use linked-list in your code again at kjellkod.wordpress.com
  5. Brodnik, Andrej; Carlsson, Svante; Sedgewick, Robert; Munro, JI; Demaine, ED (1999), Resizable Arrays in Optimal Time and Space (Technical Report CS-99-09) (PDF), Department of Computer Science, University of Waterloo