NIST

jump list

(data structure)

Definition: A variant of doubly linked list with items in sorted order and having two levels of additional links that span geometrically increasing distances. For a list with n items, the next level is a link from item i, 1 ≤ i ≤ n - floor( n 1/3), to item i + floor( i 1/3). At the top level, items 1³, 2³, 3³, ..., floor( n 1/3) ³ have backward links, that is, there is a link from item i³, 1 < i ≤ floor( n 1/3) ³, to item (i-1)³. Search, insert, and delete are O(n1/3) worst case.

See also skip list, dictionary.

Note: The data structure can also be seen as a binary search tree with additional links.

Author: PEB

More information

Arne Andersson and Thomas Ottmann, New Tight Bounds on Uniquely Represented Dictionaries, SIAM Journal of Computing, 24(5):1091-1103, 1995.


Go to the Dictionary of Algorithms and Data Structures home page.

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

Entry modified 17 December 2004.
HTML page formatted Mon Feb 2 13:10:39 2015.

Cite this as:
Paul E. Black, "jump list", in Dictionary of Algorithms and Data Structures [online], Vreda Pieterse and Paul E. Black, eds. 17 December 2004. (accessed TODAY) Available from: http://www.nist.gov/dads/HTML/jumpList.html