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Selfadjusting binary search trees
, 1985
"... The splay tree, a selfadjusting form of binary search tree, is developed and analyzed. The binary search tree is a data structure for representing tables and lists so that accessing, inserting, and deleting items is easy. On an nnode splay tree, all the standard search tree operations have an am ..."
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Cited by 435 (19 self)
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The splay tree, a selfadjusting form of binary search tree, is developed and analyzed. The binary search tree is a data structure for representing tables and lists so that accessing, inserting, and deleting items is easy. On an nnode splay tree, all the standard search tree operations have
Generalized Search Trees for Database Systems
 IN PROC. 21 ST INTERNATIONAL CONFERENCE ON VLDB
, 1995
"... This paper introduces the Generalized Search Tree (GiST), an index structure supporting an extensible set of queries and data types. The GiST allows new data types to be indexed in a manner supporting queries natural to the types; this is in contrast to previous work on tree extensibility which only ..."
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Cited by 235 (18 self)
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This paper introduces the Generalized Search Tree (GiST), an index structure supporting an extensible set of queries and data types. The GiST allows new data types to be indexed in a manner supporting queries natural to the types; this is in contrast to previous work on tree extensibility which
On Optimal Binary Search Trees
"... We present a new linear time heuristic for constructing binary search trees. The analysis of the algorithm, by establishing an upper bound on the cost of the produced binary search trees, permits to derive a limitation on the cost of optimal binary search trees. The obtained upper bound improve on p ..."
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We present a new linear time heuristic for constructing binary search trees. The analysis of the algorithm, by establishing an upper bound on the cost of the produced binary search trees, permits to derive a limitation on the cost of optimal binary search trees. The obtained upper bound improve
Planar Point Location Using Persistent Search Trees
, 1986
"... A classical problem in computational geometry is the planar point location problem. This problem calls for preprocessing a polygonal subdivision of the plane defined by n line segments so that, given a sequence of points, the polygon containing each point can be determined quickly online. Several ..."
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Cited by 185 (4 self)
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line. Several ways of solving this problem in O(log n) query time and O(n) space are known, but they are all rather complicated. We propose a simple O(log f&querytime, O(n)space solution, using persistent search trees. A persistent search tree differs from an ordinary search tree in that after
Estimating Search Tree Size
 In Proceedings of the 21st National Conference on Artificial Intelligence (AAAI ’06
, 2006
"... We propose two new online methods for estimating the size of a backtracking search tree. The first method is based on a weighted sample of the branches visited by chronological backtracking. The second is a recursive method based on assuming that the unexplored part of the search tree will be simil ..."
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Cited by 27 (2 self)
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We propose two new online methods for estimating the size of a backtracking search tree. The first method is based on a weighted sample of the branches visited by chronological backtracking. The second is a recursive method based on assuming that the unexplored part of the search tree
Constraint Search Trees
 In L. Naish (Ed.), Proc. Int. Conf. on Logic Programming (CLP'97
, 1997
"... This paper defines constraint search trees, a general tree data structure for storing and accessing items with constraints as keys. Constraint search trees can mimic binary search trees, radix search trees, kd trees, Rtrees and many other kinds of search trees. The unifying framework of constraint ..."
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This paper defines constraint search trees, a general tree data structure for storing and accessing items with constraints as keys. Constraint search trees can mimic binary search trees, radix search trees, kd trees, Rtrees and many other kinds of search trees. The unifying framework
Randomized Binary Search Trees
 Journal of the ACM
, 1997
"... In this paper we present randomized algorithms over binary search trees such that: a) the insertion of a set of keys, in any fixed order, into an initially empty tree always produces a random binary search tree; b) the deletion of any key from a random binary search tree results in a random binary s ..."
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Cited by 28 (2 self)
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In this paper we present randomized algorithms over binary search trees such that: a) the insertion of a set of keys, in any fixed order, into an initially empty tree always produces a random binary search tree; b) the deletion of any key from a random binary search tree results in a random binary
DIGITAL SEARCH TREES REVISITED*
"... Abstract. Several algorithms have been proposed which build search trees using digital properties of the search keys. A general approach to the study of the average case performance of such algorithms is discussed, with particular attention to the analysis of the digital search tree structures of Co ..."
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Abstract. Several algorithms have been proposed which build search trees using digital properties of the search keys. A general approach to the study of the average case performance of such algorithms is discussed, with particular attention to the analysis of the digital search tree structures
Resilient search trees
 IN PROCEEDINGS OF 18TH ACMSIAM SODA
, 2007
"... We investigate the problem of computing in a reliable fashion in the presence of faults that may arbitrarily corrupt memory locations. In this framework, we focus on the design of resilient data structures, i.e., data structures that, despite the corruption of some memory values during their lifetim ..."
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Cited by 15 (5 self)
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their lifetime, are nevertheless able to operate correctly (at least) on the set of uncorrupted values. In particular, we present resilient search trees which achieve optimal time and space bounds while tolerating up to O ( √ log n) memory faults, where n is the current number of items in the search tree
Searching Trees: an Essay
"... We are reviewing recent advances in the run time analysis of search tree algorithms, including indications to open problems. In doing so, we also try to cover the historical dimensions of this topic. ..."
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Cited by 1 (1 self)
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We are reviewing recent advances in the run time analysis of search tree algorithms, including indications to open problems. In doing so, we also try to cover the historical dimensions of this topic.
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