• Thumbnail for Cartesian tree
    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...
    2 KB (257 words) - 10:25, 1 June 2023
  • 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...
    9 KB (914 words) - 05:55, 20 March 2025
  • Thumbnail for René Descartes
    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...
    14 KB (1,584 words) - 07:20, 25 June 2025
  • Thumbnail for Heapsort
    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
  • Thumbnail for Suffix tree
    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
  • Thumbnail for Treap
    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...
    4 KB (351 words) - 18:44, 25 May 2025
  • Thumbnail for Stern–Brocot tree
    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...
    17 KB (2,575 words) - 13:37, 12 July 2025
  • Thumbnail for Widest path problem
    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...
    24 KB (3,017 words) - 06:47, 12 May 2025
  • 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
  • Thumbnail for Random binary tree
    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...
    39 KB (5,297 words) - 20:03, 20 July 2025
  • capacity capacity constraint Cartesian tree cascade merge sort caverphone Cayley–Purser algorithm C curve cell probe model cell tree cellular automaton centroid...
    35 KB (3,135 words) - 18:46, 6 May 2025
  • 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))...
    13 KB (1,273 words) - 21:09, 3 March 2024
  • 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...
    10 KB (1,347 words) - 11:55, 25 April 2025
  • 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...
    23 KB (3,369 words) - 08:16, 27 June 2025
  • Cartesian genetic programming Cartesian tree Cartesian closed category Cartesian geometry Cartesian coordinate system Cartesian equations Cartesian plane...
    2 KB (140 words) - 06:27, 9 June 2024
  • Thumbnail for Tesseract
    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...
    26 KB (2,666 words) - 11:51, 4 June 2025
  • Thumbnail for Mind–body 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
  • Thumbnail for Tree girth measurement
    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...
    5 KB (965 words) - 19:58, 3 January 2021
  • 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...
    9 KB (930 words) - 14:42, 27 October 2023
  • Thumbnail for Comparison sort
    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
  • Thumbnail for N-sphere
    ⁠-sphere is the boundary of an ⁠ n {\displaystyle n} ⁠-ball. Given a Cartesian coordinate system, the unit ⁠ n {\displaystyle n} ⁠-sphere of radius ⁠...
    38 KB (7,348 words) - 06:41, 2 August 2025
  • 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...
    5 KB (364 words) - 17:53, 28 January 2023