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Numerical invariant of graphs
tree-depth of a connected undirected graph G {\displaystyle G} is a numerical invariant of G {\displaystyle G} , the minimum height of a Trémaux tree
Tree-depth
Type of data structure
hash tree size is a prerequisite of some formal security proofs, and helps in making some proofs tighter. Some implementations limit the tree depth using
Merkle_tree
Algorithm to search the nodes of a graph
Depth-first search (DFS) is an algorithm for traversing or searching tree or graph data structures. The algorithm starts at the root node (selecting some
Depth-first_search
Topics referred to by the same term
depth, or coverage, in genetic sequencing Depth (coordinate), a type of vertical distance Tree depth Depth (video game), an asymmetrical multiplayer video
Depth
Generalization of depth-first search trees
theory, a Trémaux tree of an undirected graph G {\displaystyle G} is a type of spanning tree, generalizing depth-first search trees. They are defined
Trémaux_tree
Tree searching strategy
depth limits until the goal is found. IDDFS is optimal, meaning that it finds the shallowest goal. Since it visits all the nodes in the search tree down
Iterative deepening depth-first search
Iterative_deepening_depth-first_search
Class of algorithms
canonically traversed in linear order, trees may be traversed in multiple ways. They may be traversed in depth-first or breadth-first order. There are
Tree_traversal
Data structure in tree form sorted for fast lookup
tree Depth-first search Black, Paul and Pieterse, Vreda (2005). "search tree". Dictionary of Algorithms and Data Structures Toal, Ray. "(a,b) Trees"
Search_tree
Perennial woody plant with elongated trunk
botany, a tree is a perennial plant with an elongated stem, or trunk, usually supporting branches and leaves. In some usages, the definition of a tree may be
Tree
Machine learning technique
separate validation data set. Another regularization parameter for tree boosting is tree depth. The higher this value the more likely the model will overfit
Gradient_boosting
Undirected, connected, and acyclic graph
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
Tree_(graph_theory)
Type of tree data structure
strategies for searching the space are possible. These include searching the tree depth-first, breadth-first, or best-first using some measure of desirability
And–or_tree
Tree-based computer data structure
carrying the data objects/chunks. A B-tree of depth n+1 can hold about U times as many items as a B-tree of depth n, but the cost of search, insert, and
B-tree
Linked node hierarchical data structure
height zero, and a tree with only a single node (hence both a root and leaf) has depth and height zero. Conventionally, an empty tree (tree with no nodes,
Tree_(abstract_data_type)
Decision support tool
some. The accuracy of the decision tree can change based on the depth of the decision tree. In many cases, the tree's leaves are pure nodes. When a node
Decision_tree
Algorithm to search the nodes of a graph
searching a tree data structure for a node that satisfies a given property. It starts at the tree root and explores all nodes at the present depth prior to
Breadth-first_search
Variation of minimax game tree search
negamax(rootNode, depth, −∞, +∞, 1) Alpha (α) and beta (β) represent lower and upper bounds for child node values at a given tree depth. Negamax sets the
Negamax
Data compression technique
by replacing a stop () criterion in the induction algorithm (e.g. max. Tree depth or information gain (Attr)> minGain). Pre-pruning methods are considered
Decision_tree_pruning
Limited form of tree data structure
full binary trees. A perfect binary tree is a binary tree in which all interior nodes have two children and all leaves have the same depth or same level
Binary_tree
Mathematical optimization problem restricted to integers
A {\displaystyle A} is the minimum of the tree-depth of the graph of A {\displaystyle A} and the tree-depth of the graph of the transpose of A {\displaystyle
Integer_programming
Visual ability to perceive the world in 3D
Depth perception is the ability to perceive distance to objects in the world using the visual system and visual perception. It is a major factor in perceiving
Depth_perception
Tree which includes all vertices of a graph
This tree is known as a depth-first search tree or a breadth-first search tree according to the graph exploration algorithm used to construct it. Depth-first
Spanning_tree
Binary tree variant
recursion and the extra storage (proportional to the tree's depth) that recursion requires. "A binary tree is threaded by making all right child pointers that
Threaded_binary_tree
In applied mathematics, a technique to find the shortest path
the graph diameter, t d {\displaystyle td} is the tree-depth and t w {\displaystyle tw} is the tree-width. The first analysis of contraction hierarchy
Contraction_hierarchies
Data structure
radix tree (also radix trie or compact prefix tree or compressed trie) is a data structure that represents a space-optimized trie (prefix tree) in which
Radix_tree
depth of an output node is the depth of the tree. The leaves of the tree are called output nodes. In a computation tree for a decision problem, each output
Computation_tree
Multidimensional search tree for points in k dimensional space
Wikimedia Commons has media related to k-d trees. In computer science, a k-d tree (short for k-dimensional tree) is a space-partitioning data structure for
K-d_tree
Homomorphism from an initial algebra into another algebra
Iso $ TconR l r treeDepth :: Algebra (Tcon a) Integer -- again, the treeDepth f-algebra example treeDepth (TconL x) = 1 treeDepth (TconR y z) = 1 + max
Catamorphism
Overview of and topical guide to algorithms
Circular buffer Tree (data structure) Binary tree Binary search tree AVL tree Red–black tree B-tree B+ tree Trie Segment tree Fenwick tree Heap (data structure)
Outline_of_algorithms
Graph coloring related to treedepth
in a centered coloring of a given graph G {\displaystyle G} equals its tree-depth, the minimum height of a rooted forest F {\displaystyle F} on the same
Centered_coloring
Cache of previously seen positions, and associated evaluations in a game tree
number of possible positions that may occur in a game tree is an exponential function of depth of search, and can be thousands to millions or even much
Transposition_table
Graph path which is an induced subgraph
graphs, having bounded detour number is equivalent to having bounded tree-depth. The induced path number of a graph G is the smallest number of induced
Induced_path
Model of computational complexity
complexity of an algorithm in the decision tree model corresponds to the depth of the corresponding tree. This notion of computational complexity of
Decision_tree_model
Search algorithm
number of nodes that are evaluated by the minimax algorithm in its search tree. It is an adversarial search algorithm used commonly for machine playing
Alpha–beta_pruning
Connectivity measure in graph theory
rank n. The cycle rank of a directed graph is closely related to the tree-depth of an undirected graph and to the star height of a regular language. It
Cycle_rank
Rule in logic programming
the search tree. Prolog searches the tree depth-first, one branch at a time, using backtracking when it encounters a failure node. Depth-first search
SLD_resolution
Self-balancing binary search tree data structure
Left-leaning red–black tree AVL tree B-tree (2–3 tree, 2–3–4 tree, B+ tree, B*-tree, UB-tree) Scapegoat tree Splay tree T-tree WAVL tree GNU libavl Cormen
Red–black_tree
Technique in parallel algorithms
tree has exactly two branches for each vertex except for leaves. This gives a O(log n) bound on the depth of the tree. A linked list is also a tree where
Tree_contraction
Scented tea made by infusing tea leaves with jasmine blossoms
Tuyết tea trees (some over 200 years old), known for their distinct mountain character. The resulting cup harmonises earthy old-tree depth with the jasmine
Jasmine_tea
Tool for proving a logical formula
visit in a depth-first manner with iterative deepening: one first visits the tree depth first up to a certain depth, then increases the depth and perform
Method_of_analytic_tableaux
Journaling file system
NSS Maximum open files per server: no practical limit Maximum directory tree depth: limited only by client Maximum volumes per partition: unlimited Maximum
Novell_Storage_Services
Number denoting a graph's closeness to a tree
least as large as the pathwidth. Other related parameters include the tree-depth, a number that is bounded for a minor-closed graph family if and only
Treewidth
Data structure for representing a forest
auxiliary tree are keyed by depth, this means that any nodes to the right of v in the auxiliary tree must be disconnected. In a splay tree this is a relatively
Link/cut_tree
Species of banyan tree
elastica, the rubber fig, rubber bush, rubber tree, rubber plant, or Indian rubber bush, Indian rubber tree, or rambung is a species of flowering plant
Ficus_elastica
Binary tree selected at random
random trees formed by inserting nodes one at a time according to a random permutation. The resulting trees are very likely to have logarithmic depth and
Random_binary_tree
Tree data structure in which each node has at most m children
complete m-ary tree (or, less commonly, a perfect m-ary tree) is a full m-ary tree in which all leaf nodes are at the same depth. For an m-ary tree with height
M-ary_tree
Shell command for reporting file system storage use
the storage usage for the specified scope -d #: The maximum directory tree depth of the scope. Deeper directories are ignored; for example, 0 sums the
Du_(Unix)
Node labeling problem in graph theory
its tree-depth is at most k log(n/k). In contrast, as noted in the previous section, the star graph Sk, a structurally very simple example of a tree, has
Graph_bandwidth
Digital image processing technique
taken at different focus distances to give a resulting image with a greater depth of field (DOF) than any of the individual source images. Focus stacking
Focus_stacking
Maximal biconnected subgraph
idea is to run a depth-first search while maintaining the following information: the depth of each vertex in the depth-first-search tree (once it gets visited)
Biconnected_component
Purely functional data structure
level of the tree contains only values, the leaf nodes of the tree, and is of depth 0. The second level is of depth 1. The third is of depth 2 and so on
Finger_tree
Technique used in relational databases
to the tree. For more complex systems, hierarchy can be developed through relational models rather than an implicit numeric tree structure. Depth of an
Nested_set_model
Data structure in computer science
tree is that all external nodes are at the same depth. 2–3–4 trees are closely related to red–black trees by interpreting red links (that is, links to red
2–3–4_tree
Data type defined by combining other types
the depth of a Tree, given here in Haskell: depth :: Tree -> Int depth Empty = 0 depth (Leaf n) = 1 depth (Node n l r) = 1 + max (depth l) (depth r) Thus
Algebraic_data_type
File system based on FAT
partition: 8 Maximum open files per server: 100,000 Maximum directory tree depth: 100 levels Characters used: ASCII double-byte Maximum extended attributes:
NetWare_File_System
Chordal graph with the given graph as a subgraph
proper interval graph with maximum clique size at most k + 1. And it has tree-depth k if and only if it has at least one chordal completion that is a trivially
Chordal_completion
Variation of the minimax algorithm
tree alternate from max to min until the depth limit of the tree has been reached. In an expectiminimax tree, the "chance" nodes are interleaved with
Expectiminimax
Hyperparameter optimization framework
learning rate, number of layers or neurons, regularization strength, and tree depth. However, they strongly depend on the specific algorithm (e.g., classification
Optuna
Computer science data structure
binary balanced tree with at most 4n + 1 leaves, its height is O(log n). Since any interval is stored at most twice at a given depth of the tree, that the total
Segment_tree
Visualisation method for hierchical data
{\displaystyle n} - the total number of nodes in the tree, and d {\displaystyle d} - the total depth of the tree. Onak and Sidiropoulos proved an upper bound
Treemapping
exponential tree is a type of search tree where the number of children of its nodes decreases doubly-exponentially with increasing depth. Values are stored
Exponential_tree
Programming language
tree: procedure tree(depth: integer, bottom: channel); var left, right: channel; begin if depth > 0 then begin open(left, right); parallel tree(depth
SuperPascal
Rendering method
very reflective scene, using this with a maximum depth of 15 resulted in an average ray tree depth of 1.7. Enclosing groups of objects in sets of bounding
Ray_tracing_(graphics)
Graph coloring avoiding 2-colored paths
result has been generalized to all low-tree-depth colorings (standard coloring and star coloring being low-tree-depth colorings with respective parameter
Star_coloring
Data structure for a string
A suffix tree can be built in O ( n ) {\displaystyle {\mathcal {O}}(n)} and can be converted into a suffix array by traversing the tree depth-first also
Suffix_array
English polymath (1642–1727)
analysis indicate that the sole apple tree in a garden at Woolsthorpe Manor was the tree Newton described. The tree blew over in at storm sometime around
Isaac_Newton
Tree in which each node has at most three children
directed edge. Depth - Length of the path from the root to the node. The set of all nodes at a given depth is sometimes called a level of the tree. The root
Ternary_tree
tree Fault tree Free tree Game tree K-ary tree Octree Parse tree Phylogenetic tree Polytree Positional tree PQ tree R-tree Rooted tree Ordered tree Recursive
List_of_graph_theory_topics
Least-weight tree connecting graph vertices
A minimum spanning tree (MST) or minimum weight spanning tree is a subset of the edges of a connected, edge-weighted undirected graph that connects all
Minimum_spanning_tree
Series of children's novels by Mary Pope Osborne
Magic Tree House is an American children's series written by American author Mary Pope Osborne. The original American series was illustrated by Salvatore
Magic_Tree_House
Graph with at most one crossing per edge
fixed-parameter tractable when parameterized by cyclomatic number or by tree-depth, so it may be solved in polynomial time when those parameters are bounded
1-planar_graph
Machine learning algorithm
Conditional Inference approach, that does not require pruning). The average depth of the tree that is defined by the number of nodes or tests till classification
Decision_tree_learning
Space partitioning data structure
constructing a tree and the efficiency achieved by this metric. This section briefly describes the simplest of these algorithms. A more in-depth discussion
Ball_tree
Heuristic to improve alpha-beta game tree pruning
programs frequently keep track of two killer moves for each depth of the game tree (greater than depth of 1) and see if either of these moves, if legal, produces
Killer_heuristic
Spatial index that partitions space based on the bit-representation of keys
splitting policy also imposes a maximum depth, thus avoiding degenerated trees and the need for rebalancing. The basic PH-tree is a spatial index that maps keys
PH-tree
Self-balancing binary search tree
computer science, an AVL tree (named after inventors Adelson-Velsky and Landis) is a self-balancing binary search tree. In an AVL tree, the heights of the
AVL_tree
Fewest graph edges whose removal breaks all cycles
definition than cyclomatic number (closely related to the definition of tree-depth for undirected graphs) and is more difficult to compute. Another problem
Cyclomatic_number
Painting by Piet Mondrian
application of paint to create depth. His rhythmic and opaque application indicates a greater sense of substance both in the tree and the space around it. His
Evening;_Red_Tree
Type of computer/communication network topology
some traits with the binary tree network. It is a variation of the fat tree architecture. A hypertree of degree k depth d may be visualized as a 3-dimensional
Hypertree_network
Mathematical concept for comparing objects
minor" is a well-quasi-order (Robertson–Seymour theorem). Graphs of finite tree-depth ordered by the induced subgraph relation form a well-quasi-order, as do
Well-quasi-ordering
Flowering, deciduous trees, family Ulmaceae
Elms are deciduous and semi-deciduous trees comprising the genus Ulmus in the family Ulmaceae. They are distributed over most of the Northern Hemisphere
Elm
2017 video game
personal depth." Rebecca Stow of Push Square gave the game's PS4 version an 8/10 rating, praising its voice acting and writing that "The First Tree effortlessly
The_First_Tree
Tree data structure
depends on the depth of the search tree, and therefore the branching factor, versus the insertion time, which depends on the depth of the tree but more sensitively
Fractal_tree_index
Ordered binary tree of rational numbers
The numbers at depth d in the tree are the numbers for which the sum of the continued fraction coefficients is d + 1. The Stern–Brocot tree forms an infinite
Stern–Brocot_tree
Combinatorial game theory concept to represent all possible game states
for the case of "pathological" game trees (which seem to be quite rare in practice), increasing the search depth (i.e., the number of plies searched)
Game_tree
Mathematical tree on concentric circles
nodes. A radial tree will spread the larger number of nodes over a larger area as the levels increase. We use the terms level and depth interchangeably
Radial_tree
Motif in many mythologies and religions
The world tree, also known as the cosmic tree is a motif present in several religions and mythologies, particularly Indo-European, Siberian, and Native
World_tree
Subgraph with contracted edges
pathwidth if and only if its forbidden minors include a forest, F has bounded tree-depth if and only if its forbidden minors include a disjoint union of path graphs
Graph_minor
In computer science, join-based tree algorithms are a class of algorithms for self-balancing binary search trees. This framework aims at designing highly-parallelized
Join-based_tree_algorithms
Genus of legumes
also known as tipa, rosewood and pride of Bolivia, is a South American tree. It is the only member of the genus Tipuana. It was recently assigned to
Tipuana
Soil depression created by a tree
upturned rootwad, but trees are sparse; in deeper soils less rock is upturned, but trees are more common, and in soils deeper than the depth of roots, no bedrock
Tree_throw
Educational publishing company
long-term PD, from one-day events or workshops to in-depth, long term arrangements. In 2014, Solution Tree launched Global PD, an online tool designed to help
Solution_Tree
Machine for transplanting trees
ball diameter, root ball depth, and root ball cone angle. The machines can be mounted on a tractor or loader for moving trees a short distance, or on the
Tree_spade
Microphone recording system
The Decca Tree is a spaced microphone array most commonly used for orchestral recording. It was originally developed as a type of stereo A–B recording
Decca_tree
Automated methods for the creation of mazes
this, maze generation is often approached as generating a random spanning tree. Loops, which can confound naive maze solvers, may be introduced by adding
Maze_generation_algorithm
Basic unit of a data structure
the furthest leaf node, and the height of the tree is equal to the height of the root node. Node depth is determined by the distance between that particular
Node_(computer_science)
Genus of cephalopods
metres (23,881 ft), but this depth is uncertain (as the specimen may have been captured while the net was descending to this depth). In 2020, Grimpoteuthis
Grimpoteuthis
Group of languages related through a common ancestor
borrowed from biology, with the tree model used in historical linguistics analogous to a family tree, or to phylogenetic trees of taxa used in evolutionary
Language_family
precision during construction and traversal Flatter tree structure (decreased tree depth) compared to kd-trees To construct any space partitioning structure
Bounding_interval_hierarchy
tree with n nodes, and let v be an arbitrary node of T. The level ancestor query LA(v,d) requests the ancestor of node v at depth d, where the depth of
Level_ancestor_problem
TREE DEPTH
TREE DEPTH
Girl/Female
Japanese
Three trees together.
Female
English
English form of Irish BrÃgh, BREE means "force, strength."
Boy/Male
Japanese
Three trees together.
Surname or Lastname
English (chiefly East Anglia)
English (chiefly East Anglia) : nickname or status name from Old English frēo ‘free(-born)’, i.e. not a serf.North German : topographic or habitational name from a place named Frede or Frede(n).North German : nickname from a variant of Middle Low German wrēd ‘crooked’.
Boy/Male
English American
Three. Also atraigh 'Strand'.
Boy/Male
American, Australian, British, English, Jamaican
Three
Boy/Male
Scottish American
Derivative of the Scandinavian god of battle 'Tyr.' Tuesday was named for Tyr.
Girl/Female
African, Indian, Japanese, Sanskrit
True Record; True Hope; Heaven and Earth Conjoined; Tree
Surname or Lastname
English
English : variant of Trow, mainly of 1.altered spelling of German Treu.
Boy/Male
American, Australian, Chinese
Three
Girl/Female
American, Australian, Christian, Danish, French, Jamaican, Latin
True Image; Womanly; Brave; Yew Tree
Male
English
English name TREY means "three."
Surname or Lastname
English
English : variant of Trow, mainly of 1.
Boy/Male
American, Australian, British, Chinese, Christian, English
Three
Female
Spanish
Short form of Spanish Teresa, TERE means "harvester."Â
Male
English
Short form of English Trevor, TREV means "large settlement."
Boy/Male
Muslim
Rare, Uncommon, Strange
Surname or Lastname
English (mainly southeastern)
English (mainly southeastern) : topographic name for someone who lived near a conspicuous tree, Middle English tre(w).
Surname or Lastname
Cornish
Cornish : habitational name from places so named in the parishes of Zennor and St. Levan, both of which appear earlier in the form Trethyn, from Cornish tre ‘homestead’, ‘settlement’ + dyn ‘fort’.English : variant of Treece, from a form with the weak plural ending.
Surname or Lastname
English
English : variant of Treece.
TREE DEPTH
TREE DEPTH
Girl/Female
German
Army Counsellor; Army; War Counsellor
Girl/Female
Muslim
Honey
Male
Hindi/Indian
Hindi name KANJA means "born in water." In mythology, this is a name belonging to Brahma.
Girl/Female
Norse
Wife of Surt.
Girl/Female
Arabic, Muslim, Sindhi
The Protected One
Boy/Male
Tamil
Proud, Garv
Girl/Female
Biblical
Selling.
Boy/Male
Indian, Punjabi, Sikh
Abiding by the Guru's Blessing
Boy/Male
Indian, Sanskrit
Unconfused; Unaffected
Boy/Male
Bengali, Gujarati, Hindu, Indian, Kannada, Malayalam, Marathi
Lord Shiva
TREE DEPTH
TREE DEPTH
TREE DEPTH
TREE DEPTH
TREE DEPTH
v. t.
To drive to a tree; to cause to ascend a tree; as, a dog trees a squirrel.
n.
A mass of crystals, aggregated in arborescent forms, obtained by precipitation of a metal from solution. See Lead tree, under Lead.
a.
Alt. of Trewe
n.
A cross or gallows; as Tyburn tree.
imp. & p. p.
of Tree
n.
Something constructed in the form of, or considered as resembling, a tree, consisting of a stem, or stock, and branches; as, a genealogical tree.
v. t.
To place upon a tree; to fit with a tree; to stretch upon a tree; as, to tree a boot. See Tree, n., 3.
n.
Actual; not counterfeit, adulterated, or pretended; genuine; pure; real; as, true balsam; true love of country; a true Christian.
a.
True.