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  2. AVL tree - Wikipedia

    en.wikipedia.org/wiki/AVL_tree

    Both AVL trees and red–black (RB) trees are self-balancing binary search trees and they are related mathematically. Indeed, every AVL tree can be colored red–black, [14] but there are RB trees which are not AVL balanced. For maintaining the AVL (or RB) tree's invariants, rotations play an important role.

  3. List of data structures - Wikipedia

    en.wikipedia.org/wiki/List_of_data_structures

    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 binary search tree; Red–black tree; Rope; Scapegoat tree; Self-balancing binary search tree; Splay tree; T-tree; Tango tree; Threaded binary tree; Top tree; Treap; WAVL tree; Weight ...

  4. WAVL tree - Wikipedia

    en.wikipedia.org/wiki/WAVL_tree

    The weak AVL tree is defined by the weak AVL rule: Weak AVL rule: all rank differences are 1 or 2, and all leaf nodes have rank 0. Note that weak AVL tree generalizes the AVL tree by allowing for 2,2 type node. A simple proof shows that a weak AVL tree can be colored in a way that represents a red-black tree.

  5. Red–black tree - Wikipedia

    en.wikipedia.org/wiki/Red–black_tree

    The worst-case height of AVL is 0.720 times the worst-case height of red-black trees, so AVL trees are more rigidly balanced. The performance measurements of Ben Pfaff with realistic test cases in 79 runs find AVL to RB ratios between 0.677 and 1.077, median at 0.947, and geometric mean 0.910. [22] The performance of WAVL trees lie in between ...

  6. List of graph theory topics - Wikipedia

    en.wikipedia.org/wiki/List_of_graph_theory_topics

    Binary search tree. Self-balancing binary search tree. AVL tree; Red–black tree; Splay tree; ... Tree (set theory) (need not be a tree in the graph-theory sense, ...

  7. Tree (graph theory) - Wikipedia

    en.wikipedia.org/wiki/Tree_(graph_theory)

    The depth of a tree is the maximum depth of any vertex. Depth is commonly needed in the manipulation of the various self-balancing trees, AVL trees in particular. The root has depth zero, leaves have height zero, and a tree with only a single vertex (hence both a root and leaf) has depth and height zero.

  8. Today’s NYT ‘Strands’ Hints, Spangram and Answers ... - AOL

    www.aol.com/today-nyt-strands-hints-spangram...

    We'll cover exactly how to play Strands, hints for today's spangram and all of the answers for Strands #287 on Sunday, December 15. Related: 16 Games Like Wordle To Give You Your Word Game Fix ...

  9. Join-based tree algorithms - Wikipedia

    en.wikipedia.org/wiki/Join-based_tree_algorithms

    In 2016, Blelloch et al. formally proposed the join-based algorithms, and formalized the join algorithm for four different balancing schemes: AVL trees, red–black trees, weight-balanced trees and treaps. In the same work they proved that Adams' algorithms on union, intersection and difference are work-optimal on all the four balancing schemes.