Skip lift: A probabilistic alternative to red-black trees

Authors:
Prosenjit Bose;Karim Douïeb;Pat Morin
Affiliations:
School of Computer Science, Carleton University, Herzberg Building, 1125 Colonel By Drive, Ottawa, Ontario, K1S 5B6 Canada;School of Computer Science, Carleton University, Herzberg Building, 1125 Colonel By Drive, Ottawa, Ontario, K1S 5B6 Canada;School of Computer Science, Carleton University, Herzberg Building, 1125 Colonel By Drive, Ottawa, Ontario, K1S 5B6 Canada
Venue:
Journal of Discrete Algorithms
Year:
2012

Citing 11
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Abstract

We present the Skip lift, a randomized dictionary data structure inspired by the skip list [Pugh@?90, Comm. of the ACM]. Similar to the skip list, the skip lift has the finger search property: given a pointer to an arbitrary element f, searching for an element x takes expected O(log@d) time where @d is the rank distance between the elements x and f. The skip lift uses nodes of O(1) worst-case size (for a total of O(n) worst-case space usage) and it is one of the few efficient dictionary data structures that performs an O(1) worst-case number of structural changes (pointers/fields modifications) during an update operation. Given a pointer to the element to be removed from the skip lift the deletion operation takes O(1) worst-case time.