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	Binary search tree - Wikipedia, the free encyclopedia
		Once the binary search tree has been created, its elements can be retrieved in order by recursively traversing the left subtree, visiting the root, then recursively traversing the right subtree.
		AVL trees and red-fl trees are both forms of self-balancing binary search trees.
		A splay tree is a binary search tree that automatically moves frequently accessed elements nearer to the root.
	en.wikipedia.org /wiki/Binary_search_tree (1088 words)

	Binary tree - Wikipedia, the free encyclopedia
		In computer science, a binary tree is a tree data structure in which each node has at most two children.
		One common use of binary trees is binary search trees; another is binary heaps.
		The height of a node n is the length of the path from the node n to its furthest leaf.
	en.wikipedia.org /wiki/Binary_tree (1021 words)

	Game tree - Wikipedia, the free encyclopedia
		Game trees are important in artificial intelligence because one way to pick the best move in a game is to search the game tree using the minimax algorithm or its variants.
		The game tree for tic-tac-toe is easily searchable, but the complete game trees for larger games like chess are much too large to search.
		With a complete game tree, it is possible to "solve" the game-- that is to say, find a sequence of moves that either the first or second player can follow that will guarantee either a win or tie.
	en.wikipedia.org /wiki/Game_tree (426 words)

	Exhaustive Search Methods
		Search is terminated when a solution is found; that is, the test of a state returns true.
		The search is said to be exhaustive because the search is guaranteed to generate all reachable states before it terminates with failure.
		Again, if the tree is very deep and the maximum depth searched is less that the maximum depth of the tree, then this procedure is "exhaustive" modulo the depth that has been set.
	www-rci.rutgers.edu /~cfs/305_html/Computation/ExhaustiveSearch_305.html (853 words)

	Binary search tree
		In computer science, a binary search tree is a binary tree where every node has a value, every node's left subtree has values less than the node's value, and every right subtree has values greater.
		There is a sort algorithm based on binary search trees, and also a search algorithm.
		A splay tree is a self-adjusting binary search tree.
	www.brainyencyclopedia.com /encyclopedia/b/bi/binary_search_tree.html (428 words)

	Binary search tree -- Facts, Info, and Encyclopedia article (Site not responding. Last check: 2007-09-17)
		Searching a binary tree for a specific value is easy due to its special properties.
		Insertion is almost identical to search: we search for the value, but if we do not find the value we continue searching along either the left or right branch.
		Although this operation doesn't always traverse the tree down to a leaf, this is always a possibility; thus in the worst case, it requires time proportional to the height of the tree.
	www.absoluteastronomy.com /encyclopedia/b/bi/binary_search_tree.htm (1054 words)

	Computer Chess Programming » Blog Archive » Chess Tree Search
		The problem for most interesting games is that the size of this tree is tremendously huge, something like W^D, where W is the average number of moves per position and D is the depth of the tree, Searching the whole tree is impossible, mainly due to lack of time, even on the fastest computers.
		Chess tree search is an alternation between maximizing and minimizing the value of the positions in the tree; this is often abbreviated to minimaxing.
		The number of positions that has to be searched by this algorithm is W^D, where W is the width of the tree (average number of moves possible in each position) and D is the depth of the tree (^ indicates exponentiation).
	chess.verhelst.org /1997/03/10/search (2140 words)

	B-Trees
		B-trees are balanced trees that are optimized for situations when part or all of the tree must be maintained in secondary storage such as a magnetic disk.
		Since the "branchiness" of a b-tree can be large compared to many other balanced tree structures, the base of the logarithm tends to be large; therefore, the number of nodes visited during a search tends to be smaller than required by other tree structures.
		The search operation on a b-tree is analogous to a search on a binary tree.
	www.bluerwhite.org /btree (2387 words)

	Topic #9: Binary search trees
		A tree is defined as a nonempty finite set of labeled nodes such that there is only one node called the root of the tree, and the remaining nodes are partitioned into subtrees.
		The minimum element of a binary search tree is the last node of the left roof, and its maximum element is the last node of the right roof.
		To delete a given element from a binary search tree, we use two pointers: q and p such that q is always the parent of p, and p is always the one to be deleted.
	www.cs.mcgill.ca /~eunice/cs251.html (2651 words)

	Binary Search Tree
		A tree is a recursive data structure used to store a hierarchical collection of nodes starting at a root node pointing down to parent and child nodes to leaf nodes (nodes with no children).
		A binary search tree is a tree that uses binary nodes (nodes with no more then two children) kept in sort order, with smaller nodes on the left and larger nodes on the right.
		In a binary search tree the efficiency of the tree depends on the height of the tree.
	www.datareel.com /docs/classes/general/gxbstree.htm (655 words)

	search tree (Site not responding. Last check: 2007-09-17)
		Definition: A tree where every subtree of a node has keys less than any other subtree of the node to its right.
		Note: A search tree that is also a binary tree is a binary search tree.
		Paul E. Black, "search tree", from Dictionary of Algorithms and Data Structures, Paul E. Black, ed., NIST.
	www.nist.gov /dads/HTML/searchtree.html (127 words)

	Animated Binary Tree (Site not responding. Last check: 2007-09-17)
		Search for an integer in the binary tree.
		Node comparisons will appear in the bottom panel of the applet, including whether or not the requested node exists within the binary tree.
		Node comparisons will appear in the bottom panel of the applet, including whether or not the requested node can be deleted from the binary tree (i.e.
	www.cs.jhu.edu /~goodrich/dsa/trees/btree.html (118 words)

	Chess Tree Search
		At the root of the tree we search for the best successor position for the player to move, at the next level we search for the best successor position from the standpoint of the opponent, and so on.
		To remove the distinction between own and opponent position, the value of a position is always evaluated from the standpoint of the player to move, i.e by negating the value as seen by the opponent; this is called negamaxing.
		The null move heuristic is a method of skipping searches in parts of the tree where the position is good enough.
	www.cs.biu.ac.il /~davoudo/intro.html (1986 words)

	Binary Search Tree
		Instead of scanning the whole tree for the search target, we can compare the search target against the root element and narrow the search to the left subtree or the right subtree if necessary.
		This is because when the tree is balanced, that is the difference between the heights of the left and right subtrees is O(1), its height is O(logN), where N is the number of elements in the tree.
		A binary tree with the BST property is called a binary search tree.
	www.owlnet.rice.edu /~comp212/02-spring/lectures/25 (1225 words)

	Binary Search Tree Phone Book
		A difference in a simple binary tree and a binary search tree is that the binary search tree has the property that the stored data contains a key value such that the key value in the root of the left subtree is less than the key value in the root of the tree.
		However, searching the phonebook may require being aware of the structure of the binary search tree.
		Since we are implementing a binary search tree; not simply a binary tree it is logical to define a key within the tree.
	cs-netlab-01.lynchburg.edu /courses/DataStru/BSTPB.htm (1198 words)

	BFS and DFS
		We just keep a tree (the breadth first search tree), a list of nodes to be added to the tree, and markings (Boolean variables) on the vertices to tell whether they are in the tree or list.
		The proof that this produces a spanning tree (the depth first search tree) is essentially the same as that for BFS, so I won't repeat it.
		Either an edge vw is in the DFS tree itself, v is an ancestor of w, or w is an ancestor of v.
	www.ics.uci.edu /~eppstein/161/960215.html (2047 words)

	FamilyTree.com
		An endeavor which only a few years ago required a great deal of time and effort searching library records, court house documents, cemetery ledgers, and government files, is now available right from the convenience of your own computer.
		After you have asked the necessary questions it is time to begin your family tree search.
		Search queries are very handy and accurate and allow you to follow unique branches of your family tree, often uncovering names and locations of never heard of relatives.
	www.familytree.com (1036 words)

	Binary Search Tree
		First, remember that the letters in the tree are keys for the elements held in the tree.
		Moreover, searching in a binary search tree is easier than in an unordered tree since no backtracking is required.
		We saw that this should be a pointer to the node at the root of the tree.
	www.cs.bu.edu /teaching/c/tree/bst (1673 words)

	Self-Balancing Binary Search Tree
		After working with the binary tree (BiT) and binary search tree (BST) for some time it was realized that a BST was not a BiT or vice versa.
		It also prevented visitors from entering the tree because at that time the tree was still implemented in terms of a BiT which would have exposed methods that it is invalid to use on a BST.
		At this time the state of balance is defined to be when all nodes in the tree have no more than a difference of 1 between the number of nodes in their left and right sub trees.
	www.cs.oberlin.edu /~jwalker/tree (2378 words)

	Binary Search Tree
		Binary Search Tree can be implemented as a linked data structure in which each node is an object with three pointer fields.
		In binary search tree, a node's key is greater than or equal to its child's key but less than or equal to right child's key.
		Like other primitive operations on search trees, this algorithm begins at the root of the tree and traces a path downward.
	www.personal.kent.edu /~rmuhamma/Algorithms/MyAlgorithms/binarySearchTree.htm (1216 words)

	Balanced search trees - Overview
		AVL trees are identical to standard binary search trees except that for every node in an AVL tree, the height of the left and right subtrees can differ by at most 1 (Weiss, 1993, p:108).
		Sparse AVL trees are defined as AVL trees of height h with the fewest possible nodes.
		Although searching operations on a 2-3 balanced search tree are guaranteed a very good worst case, this property comes at the expense of sometimes costly insertions.
	www.cs.mcgill.ca /~cs251/OldCourses/1997/topic19 (1230 words)

	Plant your data in a ternary search tree (Site not responding. Last check: 2007-09-17)
		The highest node in the tree is the root node; its parent is null.
		You need a means for using a string key to retrieve data from the tree, using a string key to insert data into the tree, retrieving any data whose key matches a given prefix, and for retrieving any data whose key closely matches a given string.
		Furthermore, a TST allocates no memory for data that has yet to be placed in the tree and reuses nodes (memory) that multiple data values have in common, thus reducing memory requirements for large data amounts.
	www.javaworld.com /javaworld/jw-02-2001/jw-0216-ternary_p.html (2394 words)

	Binary Search Tree Applets
		The inset below presents a non-interactive illustration of the animated binary search tree applet - in this case, repeating a sequence of operations on a splay tree.
		Splay trees [Sleator and Tarjan], which are a sexy self-adjusting data structure based on the splay operation.
		Some aspects of the applet's layout, and of the trees' presentation and physics, can also be reset by parameters passed to the applet or by menus available on the interactive demos above.
	www.ibr.cs.tu-bs.de /lehre/ss98/audii/applets/BST (520 words)

	CSC 378 tutorial on Binary Search Tree rotations
		Restructuring is useful to maintain a short or ``well balanced'' tree in which searching for a key takes little time.
		In this tree, a search will, in the worst case, traverse a root-to-leaf path of seven nodes (e.g.
		In the worst case, a search will have to traverse four nodes, which takes only about half the time that it did in the original tree.
	www.cs.queensu.ca /home/jstewart/applets/bst/bst-rotation.html (532 words)

	Ancestry.com - Collection of slave narratives and the African-American slavery experience
		The Ancestry World Tree is the largest collection of its kind on the Internet.
		When you upload your family tree, you are sharing your discoveries with other researchers and helping others to find success in their family history work.
		To search the Ancestry World Tree, fill in one or more of the fields above and click "Search." Always fill in either the last name or the first name.
	www.ancestry.com /search/rectype/usersub/worldtree/main.htm (312 words)

	Ancestor Search - Free Genealogy Search Engines - Find your family ancestry & build a family tree.
		Search for your ancestors using this interactive directory of free genealogy search engines.
		Search for long lost loved ones, birth parents, or friends by using reverse directories, white pages and yellow pages.
		Surname search engine eliminates false results for names that are also common words.
	www.searchforancestors.com (564 words)

	Binary Search Tree
		The binary search tree property (BSTP) is defined on the binary tree structure as follows.
		It can be proven that when a tree containing N elements is balanced, its height is at most a constant multiple of logN.
		We are now ready to write the deletion algorithm for a binary search tree ordered according to a given Comparator.
	www.owlnet.rice.edu /~comp212/04-spring/lectures/23 (1460 words)

	B-Trees
		A B-tree is a fairly well-balanced tree by virtue of the fact that all leaf nodes must be at the bottom.
		Another variant is the B* tree, which is very similar to the B+ tree, but tries to keep the nodes about two-thirds full at a minimum.
		When a B+ tree is implemented on disk, it is likely that the leaves contain key, pointer pairs where the pointer field points to the record of data associated with the key.
	cis.stvincent.edu /swd/btree/btree.html (3173 words)

	binary search tree (Site not responding. Last check: 2007-09-17)
		AVL tree, splay tree, threaded tree, randomized binary search tree, discrete interval encoding tree.
		Note: A binary search tree is almost always implemented with pointers, but may have a variety of constraints on how it is composed.
		Paul E. Black, "binary search tree", from Dictionary of Algorithms and Data Structures, Paul E. Black, ed., NIST.
	www.nist.gov /dads/HTML/binarySearchTree.html (188 words)

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