A balanced search tree with O(1) worst-case update time |
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Authors: | Christos Levcopoulos Mark H Overmars |
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Affiliation: | (1) Department of Computer Science, Linköping University, S-58183 Linköping, Sweden;(2) Department of Computer Science, University of Utrecht, P.O. Box 80.089, 3508 TB Utrecht, The Netherlands |
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Abstract: | Summary In this paper a new data structure is described for performing member and neighbor queries in O(logn) time that allows for O(1) worst-case update time once the position of the inserted or deleted element is known. In this way previous solutions that achieved only O(1) amortized time or O(log*
n) worst-case time are improved. The method is based on a combinatorial result on the height of piles that are split after some fixed number of insertions. This combinatorial result is interesting in its own right and might have other applications as well. |
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