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Self-adjusting binary search trees

by Daniel Dominic Sleator, Robert Endre Tarjan , 1985
"... The splay tree, a self-adjusting 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 n-node splay tree, all the standard search tree operations have an am ..."
Abstract - Cited by 432 (18 self) - Add to MetaCart
The splay tree, a self-adjusting 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 n-node splay tree, all the standard search tree operations have

Limited Discrepancy Search

by William D. Harvey, Matthew L. Ginsberg - In Proceedings IJCAI’95 , 1995
"... Many problems of practical interest can be solved using tree search methods because carefully tuned successor ordering heuristics guide the search toward regions of the space that are likely to contain solutions. For some problems, the heuristics often lead directly to a solution— but not always. Li ..."
Abstract - Cited by 304 (5 self) - Add to MetaCart
. Limited discrepancy search addresses the problem of what to do when the heuristics fail. Our intuition is that a failing heuristic might well have succeeded if it were not for a small number of "wrong turns " along the way. For a binary tree of height d, there are only d ways the heuristic could

Deamortizing Binary Search Trees

by Prosenjit Bose, Rolf Fagerberg, Stefan Langerman - In Automata, Languages, and Programming - 39th International Colloquium, ICALP 2012
"... We present a general method for de-amortizing essentially any Binary Search Tree (BST) algorithm. In particular, by transforming Splay Trees, our method produces a BST that has the same asymptotic cost as Splay Trees on any access sequence while performing each search in O(log n) worst case time. By ..."
Abstract - Cited by 3 (1 self) - Add to MetaCart
. By transforming Multi-Splay Trees, we obtain a BST that is O(log log n) competitive, satisfies the scanning theorem, the static optimality theorem, the static finger theorem, the working set theorem, and performs each search in O(log n) worst case time. Moreover, we prove that if there is a dynamically optimal

Making data structures persistent

by James R. Driscoll, Neil Sarnak, Daniel D. Sleator, Robert E. Tarjan , 1989
"... This paper is a study of persistence in data structures. Ordinary data structures are ephemeral in the sense that a change to the structure destroys the old version, leaving only the new version available for use. In contrast, a persistent structure allows access to any version, old or new, at any t ..."
Abstract - Cited by 277 (6 self) - Add to MetaCart
time. We develop simple, systematic, and efftcient techniques for making linked data structures persistent. We use our techniques to devise persistent forms of binary search trees with logarithmic access, insertion, and deletion times and O (1) space bounds for insertion and deletion.

Planar Point Location Using Persistent Search Trees

by Neil Sarnak, Robert E. Tarjan , 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 on-line. Several ..."
Abstract - Cited by 177 (4 self) - Add to MetaCart
an insertion or deletion, the old version of the tree can still be accessed. We develop a persistent form of binary search tree that supports insertions and deletions in the present and queries in the past. The time per query or update is

Randomized Binary Search Trees

by Conrado Martínez, Salvador Roura - 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 ..."
Abstract - Cited by 28 (2 self) - Add to MetaCart
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

Concurrent manipulation of binary search trees

by H. T. Kung, Philip L. Lehman - ACM Transactions on Database Systems , 1980
"... The concurrent manipulation of a binary search tree is considered in this paper. The systems presented can support any number of concurrent processes which perform searching, insertion, deletion, and rotation (reorganization) on the tree, but allow any process to lock only a constant number of nodes ..."
Abstract - Cited by 55 (2 self) - Add to MetaCart
The concurrent manipulation of a binary search tree is considered in this paper. The systems presented can support any number of concurrent processes which perform searching, insertion, deletion, and rotation (reorganization) on the tree, but allow any process to lock only a constant number

Martingales and Profile of Binary Search Trees

by B. Chauvin, T. Klein, J-F. Marckert, A. Rouault , 2004
"... We are interested in the asymptotic analysis of the binary search tree (BST) under the random permutation model. Via an embedding in a continuous time model, we get new results, in particular the asymptotic behavior of the profile. ..."
Abstract - Cited by 48 (11 self) - Add to MetaCart
We are interested in the asymptotic analysis of the binary search tree (BST) under the random permutation model. Via an embedding in a continuous time model, we get new results, in particular the asymptotic behavior of the profile.

The geometry of binary search trees

by Erik D. Demaine, Dion Harmon, John Iacono, Daniel Kane, et al. - IN PROCEEDINGS OF THE 20TH ACM-SIAM SYMPOSIUM ON DISCRETE ALGORITHMS (SODA 2009 , 2009
"... We present a novel connection between binary search trees (BSTs) and points in the plane satisfying a simple property. Using this correspondence, we achieve the following results: 1. A surprisingly clean restatement in geometric terms of many results and conjectures relating to BSTs and dynamic opti ..."
Abstract - Cited by 12 (0 self) - Add to MetaCart
We present a novel connection between binary search trees (BSTs) and points in the plane satisfying a simple property. Using this correspondence, we achieve the following results: 1. A surprisingly clean restatement in geometric terms of many results and conjectures relating to BSTs and dynamic

Finger Search on Balanced Search Trees

by Maverick Woo , 2006
"... This thesis introduces the concept of a heterogeneous decomposition of a balanced search tree and apply it to the following problems: • How can finger search be implemented without changing the representation of a Red-Black Tree, such as introducing extra storage to the nodes? (Answer: Any degree-ba ..."
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-balanced search tree can support finger search without modification in its representation by maintaining an auxiliary data structure of logarithmic size and suitably modifying the search algorithm to make use of this auxiliary data structure.) • Do Multi-Splay Trees, which is known to be O(log log n
Results 1 - 10 of 1,063