computer science, a Cartesian tree is a binary tree derived from a sequence of distinct numbers. To construct the Cartesian tree, set its root to be the...
32 KB (4,294 words) - 21:45, 11 July 2025
product of two sets Cartesian product of graphs, a binary operation on graphs Cartesian tree, a binary tree in computer science Cartesian anxiety, a hope...
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List of data structures (redirect from List of tree data structures)
graphs. AA tree AVL tree Binary search tree Binary tree Cartesian tree Conc-tree list Left-child right-sibling binary tree Order statistic tree Pagoda Randomized...
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René Descartes (redirect from Cartesian idea)
portal Bucket argument Cartesian circle Cartesian plane Cartesian product Cartesian product of graphs Cartesian theater Cartesian tree Descartes number Descartes'...
122 KB (13,138 words) - 20:20, 30 July 2025
achieved by storing the Cartesian trees for all the blocks in the array. A few observations: Blocks with isomorphic Cartesian trees give the same result...
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Petersson describe a variation of heapsort based on a heap of Cartesian trees. First, a Cartesian tree is built from the input in O(n) time, and its root is placed...
49 KB (5,716 words) - 22:28, 26 July 2025
Blelloch, Guy E. (2014), "A Simple Parallel Cartesian Tree Algorithm and its Application to Parallel Suffix Tree Construction", ACM Transactions on Parallel...
29 KB (3,710 words) - 22:18, 27 April 2025
Treap (redirect from Randomized binary search tree)
portmanteau of tree and heap. It is a Cartesian tree in which each key is given a (randomly chosen) numeric priority. As with any binary search tree, the inorder...
23 KB (3,214 words) - 14:44, 12 July 2025
Cartesian tree is built from the input in O ( n ) {\displaystyle O(n)} time by putting the data into a binary tree and making each node in the tree is...
9 KB (1,375 words) - 09:12, 22 June 2024
and the tree of knowledge". Synthese. 92 (1): 101–116. doi:10.1007/BF00413744. ISSN 1573-0964. S2CID 46962659. Grosholz, Emily (1991). Cartesian method...
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fractions and mediants described above, the Stern–Brocot tree may also be defined as a Cartesian tree for the rational numbers, prioritized by their denominators...
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Cartesian tree. The root of the Cartesian tree represents the heaviest minimum spanning tree edge, and the children of the root are Cartesian trees recursively...
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Range query (computer science) (section Tree paths)
and as left and right subtrees the Cartesian tree of A [ 1 , i − 1 ] {\displaystyle A[1,i-1]} and the Cartesian tree of A [ i + 1 , n ] {\displaystyle...
32 KB (5,468 words) - 21:04, 23 June 2025
Binary trees may also be studied with all nodes unlabeled, or with labels that are not given in sorted order. For instance, the Cartesian tree data structure...
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capacity capacity constraint Cartesian tree cascade merge sort caverphone Cayley–Purser algorithm C curve cell probe model cell tree cellular automaton centroid...
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Lowest common ancestor (category Trees (graph theory))
back into a lowest common ancestor problem using the technique of Cartesian trees. Further simplifications were made by Alstrup et al. (2004) and Fischer...
24 KB (2,990 words) - 11:48, 27 July 2025
O(n) O(n) O(n) O(n) Binary search tree O(log (n)) O(log (n)) O(log (n)) O(log (n)) O(n) O(n) O(n) O(n) O(n) Cartesian tree — O(log (n)) O(log (n)) O(log (n))...
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sort, patience sort, Shellsort, smoothsort, splaysort, Timsort, and Cartesian tree sorting. Sorting algorithms Hagerup, Torben; Jyrki Katjainen (2004)...
6 KB (654 words) - 21:31, 27 July 2025
Cartesian trees also arise in the definition of the treap and randomized binary search tree data structures for binary searching. The Cartesian tree of...
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Lexicographic order (section Cartesian products)
order on an n-ary Cartesian product of partially ordered sets; this order is a total order if and only if all factors of the Cartesian product are totally...
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Cartesian genetic programming Cartesian tree Cartesian closed category Cartesian geometry Cartesian coordinate system Cartesian equations Cartesian plane...
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Schläfli symbol {4,3} × { }, with symmetry order 96. As a 4-4 duoprism, a Cartesian product of two squares, it can be named by a composite Schläfli symbol...
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Mind–body dualism (redirect from Cartesian dualism)
John Foster, Stewart Goetz, Richard Swinburne and Charles Taliaferro. Cartesian dualism, most famously defended by René Descartes, argues that there are...
99 KB (12,287 words) - 08:28, 12 July 2025
the edge of the trunk mapping the irregularities of the tree surface and converted to Cartesian x-y coordinates. The process was repeated at different...
28 KB (4,589 words) - 00:39, 28 July 2025
{\displaystyle [T]} of every tree T {\displaystyle T} forms a closed set in this topology. Frequently trees on Cartesian products X × Y {\displaystyle...
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search Key-sorted array; see binary search Self-balancing binary search tree Hash table Heap In this table, the asymptotic notation O(f(n)) means "not...
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bound. An example is adaptive heap sort, a sorting algorithm based on Cartesian trees. It takes time O ( n log k ) {\displaystyle O(n\log k)} , where k...
21 KB (2,640 words) - 15:35, 21 April 2025
N-sphere (section Cartesian coordinates)
-sphere is the boundary of an n {\displaystyle n} -ball. Given a Cartesian coordinate system, the unit n {\displaystyle n} -sphere of radius ...
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engaging with the concept of animism. Modernism is characterized by a Cartesian subject-object dualism that divides the subjective from the objective...
86 KB (9,956 words) - 03:58, 30 July 2025
normale supérieure (Paris). Vuillemin invented the binomial heap[B] and Cartesian tree data structures.[C] With Ron Rivest, he proved the Aanderaa–Rosenberg...
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