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- ...roach to the [[dynamic optimality]] problem on [[online algorithm]]s for [[binary search tree]]s involves reformulating the problem geometrically, in terms o |title=The geometry of binary search trees ...11 KB (1,751 words) - 19:27, 28 November 2023
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- {{Short description|Binary tree representing a mathematical expression}} ...ressions that contain both [[unary operation|unary]] and [[binary function|binary]] operators.<ref name="brpreiss" /> ...4 KB (584 words) - 18:17, 24 February 2024
- Key-independent optimality is a property of some [[binary search tree ]] data structures in [[computer science]] ...ptimal data structure. Key-independent optimality is related to [[Optimal binary search tree|dynamic optimality]]. ...2 KB (329 words) - 13:53, 30 September 2019
- ...bsets of four leaves that are not related by the same [[topology]] in both trees. ...th>O(N^4)</math> time, where <math>N</math> is the number of leaves in the trees. ...3 KB (469 words) - 17:46, 5 May 2021
- ...ee children per node|unrooted trees with three neighbors per node|unrooted binary tree}} Ternary trees are used to implement [[Ternary search tree]]s and [[Ternary heap]]s. ...7 KB (1,118 words) - 21:41, 19 July 2023
- ...[parallel computers]] have been proposed in recent years. '''Optical Multi-Trees with Shuffle Exchange''' (OMTSE) using both electronic and optical links am ...th a complete [[binary tree]]s of height one and the roots of these binary trees are connected with [[Shuffle-exchange network|Shuffle-Exchange]] fashion. ...3 KB (383 words) - 22:24, 2 November 2024
- ...science)|strings]]. Higher arities lead to proper [[Tree (automata theory)|trees]]. cannot be a valid term, as the symbol ''f'' appears once as binary, and once as unary, which is illicit, as ''Arity'' must be a function. ...1 KB (220 words) - 20:16, 6 April 2023
- ...]], is a method in [[graph theory]] for representing [[tree (graph theory)|trees]]. The tree is viewed as a [[directed graph]] that contains two directed e ...takes to sort ''n'' items in parallel) if the tree has ''n'' nodes, as in trees the number of edges is one less than the number of nodes. ...6 KB (1,012 words) - 07:56, 2 November 2024
- ...'A''[''j'' + 2<sup>''k''-1</sup>] ≥ ''x'', at which point this interval is binary searched for ''x''. ...val that contains ''x'', then it follows that ''d'' > 2<sup>''k''-2</sup>. Binary searching this range will also take another ''k'' iterations. Therefore, fi ...8 KB (1,402 words) - 07:23, 7 April 2023
- ...–black tree]]s, which all fall into a common framework of '''rank balanced trees'''. ...''n'')}} per operation.<ref name="gt">{{citation|contribution=4.4 Weak AVL Trees|pages=130–138|title=Algorithm Design and Applications|first1=Michael T.|las ...20 KB (3,475 words) - 21:35, 25 May 2024
- ...n - \sum_{i=1}^{k-1} 2^{2^i}</math>. Therefore, the number of items in all trees and the number of elements in all deques both add up to <math>n</math>. ...at has been inserted in the data structure is stored in exactly one of the trees and its corresponding deque. ...8 KB (1,469 words) - 03:00, 21 March 2021
- ...eActinobacteria.svg|thumb|360px|A [[cladogram]] in the form of an unrooted binary tree, representing the similarities and evolutionary history among species In mathematics and computer science, an '''unrooted binary tree''' is an [[free tree|unrooted tree]] in which each [[vertex (graph the ...14 KB (2,089 words) - 04:40, 5 October 2024
- ...on the [[binary number system]], skew binary heaps are based on the [[skew binary number system]].<ref>{{citation ...the insertion operation by introducing ternary (skew) links, which link 3 trees together. This allows the insertion operation to execute in constant time. ...11 KB (1,782 words) - 22:14, 13 November 2024
- ...s algorithm''' is an efficient method for computers to construct [[optimal binary search tree]]s and [[Huffman coding|alphabetic Huffman codes]], in [[linear ...>n+1</math> leaf nodes, which can be identified (in the order given by the binary tree) with the <math>n+1</math> input weights. ...9 KB (1,452 words) - 23:55, 30 November 2023
- ...es or as an extension of [[ω-automata|infinite-word automata]] to infinite trees. ...n, M. O.: ''Decidability of second order theories and automata on infinite trees'',''[[Transactions of the American Mathematical Society]]'', vol. 141, pp. ...7 KB (1,128 words) - 17:01, 14 April 2024
- ...roach to the [[dynamic optimality]] problem on [[online algorithm]]s for [[binary search tree]]s involves reformulating the problem geometrically, in terms o |title=The geometry of binary search trees ...11 KB (1,751 words) - 19:27, 28 November 2023
- ...nes a commonly used [[term (logic)|term]] tree structure. A set of labeled trees is called a ''tree language''. ...''). The trees that satisfy this property are called ''ranked'' trees. The trees that do not (necessarily) satisfy that property are called ''unranked''. ...4 KB (627 words) - 15:17, 29 August 2023
- ...e-Carlo]] variants (see [[Rapidly exploring random tree]]). Space-filling trees have interesting parallels in nature, including [[fluid distribution system ...a 2009 tech report <ref>Kuffner, J. J. and S. M. LaValle: ''Space-filling Trees'', The Robotics Institute, Carnegie Mellon University, CMU-RI-TR-09-47, 200 ...7 KB (990 words) - 20:16, 20 April 2024
- == Pipelined Binary Tree Broadcast == ...alization of the Pipelined Binary Tree Broadcast algorithm|thumb|Pipelined Binary Tree Broadcast]] ...13 KB (2,093 words) - 12:08, 1 December 2024
- ...e tree into another. Because of a combinatorial equivalence between binary trees and triangulations of convex polygons, rotation distance is equivalent to t ...ave rotation distance at most {{math|2''n'' − 6}}, and some pairs of trees have exactly this distance. The [[computational complexity]] of computing t ...16 KB (2,366 words) - 06:56, 30 December 2024
- ...esigning highly-parallelized algorithms for various balanced binary search trees. The algorithmic framework is based on a single operation ''join''.<ref nam ...r, if the trees are [[search tree]]s, which means that the in-order of the trees maintain a [[total ordering]] on keys, it must satisfy the condition that a ...19 KB (2,971 words) - 09:24, 18 April 2024