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| | Randomized Binary Search Trees - Martinez, Roura (ResearchIndex) |
 | | The basic idea is to construct a randomized balanced binary search tree | | | 2 Deletion algorithms for binary search trees - Mart'inez, Messeguer - 1990 | | | 1.7 : Deletion Algorithms for Binary Search Trees - Martínez, Messeguer (1994) |
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http://citeseer.ist.psu.edu/10015.html
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| | GenRandTree |
| | A randomized binary tree is a binary search tree where the places for the insertions and removals are randomly selected. | | | Searches a key in a randomized binary search tree | | | Searches a key in a randomized binary search tree. |
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http://www.cemisid.ing.ula.ve/~lrleon/aleph/libAleph/manual/GenRandTree.html
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| | Randomized Binary Search Trees |
| | The usual model to analyze the performance of a binary search tree (BST) built on n keys assumes that all possible permutations are equally likely. | | | Results on the performance of binary search trees are usually relative to the random permutation model. | | | MartÃnez and Roura propose here randomized versions of the insertion and deletion operations that ensure that, whatever the sequence of operations and the order of insertions and deletions of keys, the resulting binary search tree has the same probability as if it had been built on the random permutation model. |
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http://algo.inria.fr/seminars/sem96-97/martinez.html
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| | randomized binary search tree |
| | Definition: A binary search tree in which nodes have a randomly assigned priority. | | | Conrado Martinez and Salvador Roura, Randomized Binary Search Trees, Journal of the ACM, 45(2):288-323, March 1998. | | | Abstract of papers about Randomized Binary Search Trees and Randomized K-Dimensional Binary Search Trees |
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http://www.nist.gov/dads/HTML/randomizedBinarySearchTree.html
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| | entries.txt |
| | 272-276 C.G. Diderich and M. Gengler Minimax game tree searching In "Encyclopedia of Optimization" (C.A. Floudas and P.M. Pardalos, Eds) Kluwer Academic Publishers (2001) Vol. | | | Pourbaix Global optimization in binary star astronomy, GO4BSA In "Encyclopedia of Optimization" (C.A. Floudas and P.M. Pardalos, Eds) Kluwer Academic Publishers (2001) Vol. | | | 499-503 H.E. Romeijn Random search methods In "Encyclopedia of Optimization" (C.A. Floudas and P.M. Pardalos, Eds) Kluwer Academic Publishers (2001) Vol. |
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http://titan.princeton.edu/EoO/entries.txt
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| | Treap Example |
| | A treap is a binary search tree in which each node has both a key and a priority: nodes are ordered in an inorder fashion by their keys (as in a standard binary search tree) and are heap-ordered by their priorities (so that the each parent has a higher priority than its children). | | | To implement randomized binary search trees, random priorities are assigned to each node when an insertion is performed. | | | One can show that the expected depth of any node in this tree is about ln n, and the expected number of rotations per insertion or deletion is about 2. |
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http://aleph0.clarku.edu/~achou/cs160/examples/bst_animation/Treap-Example.html
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| | binary search tree |
| | Note: A binary search tree is almost always implemented with pointers, but may have a variety of constraints on how it is composed. | | | AVL tree, splay tree, threaded tree, randomized binary search tree, discrete interval encoding tree. | | | Definition: A binary tree where every node's left subtree has keys less than the node's key, and every right subtree has keys greater than the node's key. |
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http://www.nist.gov/dads/HTML/binarySearchTree.html
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| | C++ World - C/C++ Programming |
| | Randomized binary search trees are simple enough that the sub-optimal balancing is an acceptable return on ease of implementation. | | | This strategy is similar to randomized binary search trees in that it uses random numbers in its insertion algorithm. | | | While not perfect, and certainly not a replacement for binary search trees, a newer data structure is proving very useful and is ridiculously simple, the skip list. |
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http://www.cppworld.com/tutorials?tutorial=binary_search_trees_2
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| | CS660: Past CS 660 Exams |
| | Can the greedy algorithm can be used to create the optimal binary search tree. | | | A binary heap is a complete binary search tree with the following property: the value stored in a node, X, is smaller than the values stored in the children of X. Instructions Insert and extract-min can be performed on a heap with n items in O(lg(n)) worst case. | | | Expected cost of an algorithm (as was done for skiplists and randomized search trees) and amortized analysis both provide information about the performance of an algorithm over a sequence of operations. |
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http://www.eli.sdsu.edu/courses/fall96/cs660/pastExams/pastExams.html
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| | Part 4: Building a Better Binary Search Tree |
| | That is, adding a node to a binary search tree involves tracing down a path of the binary search tree, taking lefts and rights based on the comparison of the value of the current node, and the node being inserted, until the path reaches a dead end. | | | Recall that new nodes are inserted into a binary search tree at the leaves. | | | Figure 3 shows a number of binary trees with their height computed at each node. |
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http://msdn.microsoft.com/library/en-us/dv_vstechart/html/datastructures_guide4.asp?frame=true
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| | techreports.html |
| | Binary data, dispersion effects and the sexual behaviour of Appalachian salamanders. | | | Randomized inquiries about shape; an application to handwritten digit recognition. | | | Maximum likelihood estimation via the ECM algorithm: computing the asymptotic variance. |
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http://www.stat.uchicago.edu/research/techreports.html
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| | Tree-Structured Indexes |
| | After all, binary searching was a considerable improvement over sequential searching; perhaps a binary tree could be used as the model for a index organization. | | | Next we will explore the binary search tree and the concept of an index based on the binary search tree. | | | In 1962, two Soviet mathematicians, Adelson-Velski and Landis, published a description of a height-balanced binary tree structure and the operations required to maintain the balance of the tree regardless of the order in which keys are inserted in the tree. |
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http://www.istis.unomaha.edu/isqa/haworth/isqa3300/fs010.htm
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| | Binary Search Tree Applets |
| | Randomized binary search trees based on treaps [Aragon and Seidel]. | | | Interactive animations of several types of binary search trees | | | Both interactive and non-interactive demos of several varieties of binary search trees (BSTs) are available from the links below. |
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http://www.ibr.cs.tu-bs.de/lehre/ss98/audii/applets/BST
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| | 308-251 Project 51: Treaps |
| | In other words, the treap for a particular item set X is exactly the binary search tree that is the result of sequentially inserting the items of X in order of decreasing priority into an initially empty tree (null) using an ordinary leaf insertion algorithm used for binary search trees. | | | There are plenty of algorithms available that try to keep a search tree balanced. | | | Thus, as stated earlier it is possible to search the tree in a simple manner. |
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http://www.cs.mcgill.ca/~vsriva1/treaps.htm
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| | Overview of AIMA Code |
| | Search the nodes with the best evaluation first. | | | Search depth-first, but only up to LIMIT branches deep in the tree. | | | Search the deepest nodes in the search tree first. |
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http://www.csse.monash.edu.au/~greif/rdt3691/aima/overview.html
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| | Intro to Algorithms: CHAPTER 13: BINARY SEARCH TREES |
| | Figure 13.2 Queries on a binary search tree. | | | In order to analyze the behavior of binary search trees in practice, it is reasonable to make statistical assumptions about the distribution of keys and the sequence of insertions and deletions. | | | Binary search trees seem to have been independently discovered by a number of people in the late 1950's. |
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http://www.personal.kent.edu/~mlu3/CSCourses/AdvAlgorithms/CLR-BOOK/books/book6/chap13.htm
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| | No Title |
| | ST2 - using an ordinary binary search tree. | | | ST3 - using one of a randomized binary search tree, a splay binary search tree, a 2-3-4 tree, a red-black tree or a skip list (your choice). | | | Use this generator for generating the test set and for generating random numbers if implementing randomized binary search trees or skip lists. |
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http://dkrizanc.web.wesleyan.edu/courses/212/00/prog3/prog3.html
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| | ANALYSIS of ALGORITHMS [RN 10-97] |
| | New data structures have also found their ways into the book, like skip lists, ternary search tries, randomized binary search trees, and so on. | | | Examples may be permutations of a multiset, graphs, rooted trees, balanced trees, etc. The Combinatorial Object Server provides access to a rich collection of algorithms interactively on the web. | | | You want to test a conjecture, need to simulate an algorithms on certain inputs of some sort. |
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http://pauillac.inria.fr/algo/AofA/Research/10-97.html
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| | Dictionary of Algorithms and Data Structures |
| | Index pages list entries by area, for instance, sorting, searching, or graphs, and by type, for example, algorithms or data structures. | | | We need help in state machines, combinatorics, parallel and randomized algorithms, heuristics, and quantum computing. | | | We do not include algorithms particular to communications, information processing, operating systems, programming languages, AI, graphics, or numerical analysis: it is tough enough covering "general" algorithms and data structures. |
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http://www.darkridge.com/~jpr5/archive/dads/terms.html
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| | C Board - How do you create a balanced binary tree? |
| | If you have trouble with the rotations, see my binary search tree tutorial in the FAQ. | | | I can't figure out how to make a binary tree efficiently and all of the the tutorials on the interenet SUCK. | | | How do you create a balanced binary tree? |
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http://cboard.cprogramming.com/showthread.php?threadid=49315
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| | randomized binary search tree |
| | Randomized Binary Search Trees and Randomized K-Dimensional Binary Search Trees | | | Definition: A binary search tree built using randomized insert and delete operations. | | | The expected worst-case is O(log n) for any update or search in a RBST of size n. |
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http://www.guides.sk/CRCDict/HTML/randmzdbinst.html
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| | Data Structures in the Web |
| | Opsis Opsis is a Java applet designed to teach binary search tree algorithms. | | | Dynamic Algorithms (Fibonacci Numbers, Binomial Coefficients, Optimal Binary Search Trees, Matrix Chain Multiplicaction, Longest Common Subsequence, Optimal Triangulation) | | | That is, the student implements a binary search tree algorithm by manipulating abstract tree fragments (and not necessarily just single nodes) in a visual manner. |
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http://www.informatik.fernuni-hagen.de/import/pi4/luaces/DatenstrukturenLinks.html
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| | Unique Binary-Search-Tree Representations and Equality Testing of Sets and Sequences |
| | data structures, programming languages, unique representation, dictionary, binary search tree, equality testing, sets, sequences, S-expressions | | | This paper studies the problem of representing sets over an ordered universe by unique binary search trees, so that dictionary operations can be performed efficiently on any set. | | | Although efficient randomized solutions to the problem are known, its deterministic complexity has been open. |
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http://epubs.siam.org/sam-bin/dbq/article/18973
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| | DeepChip Homepage |
| | It's called high_fanout_net_threshold and is a new, potentially useful feature whereby nets over a certain fanout limit are considered to be clock trees which will be taken care of via clock tree synthesis. | | | Great overview for beginning specman users on how to define a good directed random test methodology. | | | This provides a second strategy for the classic set_drive 0 approach to clock trees during synthesis. |
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http://www.deepchip.com/posts/0368.html
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| | Algorithm Design: Table of Contents |
| | 3.1.4 Insertion in a Binary Search Tree, 148 | | | 3.1.3 Searching in a Binary Search Tree, 146 | | | 3.1.5 Removal in a Binary Search Tree, 149 |
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http://loki.cs.brown.edu:8081/webae/full.html
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| | Publications by the Algorithms Project |
| | - Emerging behavior as binary search trees are symetrically updated. | | | Proceedings of the 17th Colloquium on Trees in Algebra and Programming, Rennes, France, February 1992. | | | - Asymptotic average access delay analysis: adaptive p-persistence versus tree algorithm. |
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http://algo.inria.fr/papers/bibgen/algobib.html
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| | Terms and Definitions with Implementation Links |
| | randomized binary search tree : Oleg Kiselyov's (Scheme) | | | binary search tree : insert, search, remove max, number of leaves, etc. (C++) ; insert, delete, search, copy, etc. (literate C) ; insert, search, and maximum (Pascal) ; insert (C), insert (Lisp), insert (C and Pascal), search (C and Pascal), and insert, search, delete, and various traversals (Modula-2). | | | binary search : recursive and iterative code (C) ; search (C), (Scheme), Worst-case behavior annotated for real time (WOOP/ADA), including bibliography. |
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http://www.darkridge.com/~jpr5/archive/dads/termsImpl.html
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| | s.htm |
| | Jung and S. Sahni, Supernode binary search trees. | | | Cho and S. Sahni, A new weight balanced binary search tree. | | | Dekel and S. Sahni, Binary trees and parallel scheduling algorithms, |
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http://www.cise.ufl.edu/~sahni/s.htm
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| | Machine Learning Laboratory |
| | Berkman, N.C. Value grouping for binary decision trees, (Technical Report 95-19), Amherst, MA: University of Massachusetts, Department of Computer Science. | | | Berkman, N.C., and Sandholm, T.W. What should be minimized in a decision tree: A re-examination, (Technical Report 95-20), Amherst, MA: University of Massachusetts, Department of Computer Science. | | | Draper, B.A., Brodley, C.E., and Utgoff, P.E. Goal-directed classification using linear machine decision trees. |
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http://www.cs.umass.edu/~lrn/
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| | Nimrod Megiddo's resume and publications |
| | Megiddo, " Computational complexity of the game theory approach to cost allocation on a tree," Mathematics of Operations Research 3 (1978) No. 3, 189–196. | | | Syeda-Mahmood, P. Raghavan and N. Megiddo, "Interval hash tree: An efficient index structure for searching object queries in large image databases," IEEE Workshop on Content-Based Access of Image and Video Libraries (CBAIVL–2000; in conjunction with IEEE CVPR–2000), Hilton Head, South Carolina, June 12, 2000. | | | Megiddo, S. Hakimi, M. Garey, D. Johnson and C. Papadimitriou, "The complexity of searching a graph," Proceedings of the 22nd IEEE Symposium on Foundations of Computer Science (1981), IEEE Computer Society Press, Los Angeles, 1981, pp. |
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http://theory.stanford.edu/~megiddo/bio.html
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