Query of largest element in a set less than an element
In computer science, the predecessor problem involves maintaining a set of items to, given an element, efficiently query which element precedes or succeeds that element in an order. Data structures used to solve the problem include balanced binary search trees, van Emde Boas trees, and fusion trees. In the static predecessor problem, the set of elements does not change, but in the dynamic predecessor problem, insertions into and deletions from the set are allowed.[1]
The predecessor problem is a simple case of the nearest neighbor problem, and data structures that solve it have applications in problems like integer sorting.
^Beame, Paul; Fich, Faith (August 2002). "Optimal Bounds for the Predecessor Problem and Related Problems". Journal of Computer and System Sciences. 65 (1): 38–72. doi:10.1006/jcss.2002.1822. S2CID 1991980.
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In computer science, the predecessorproblem involves maintaining a set of items to, given an element, efficiently query which element precedes or succeeds...
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Paul; Fich, Faith (August 2002). "Optimal Bounds for the PredecessorProblem and Related Problems". Journal of Computer and System Sciences. 65 (1): 38–72...
Paul; Fich, Faith E. (2001). "Optimal bounds for the predecessorproblem and related problems". Journal of Computer and System Sciences. 65 (1): 38–72...
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