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 - ⌊ n 1/3⌋, to item i + ⌊ i 1/3⌋. At the top level, items 1³, 2³, 3³, …, ⌊ n 1/3⌋ ³ have backward links, that is, there is a link from item i³, 1 < i ≤ ⌊ 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.

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Entry modified 17 December 2004.
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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: