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  • Algorithms + Data Structures = Programs
  • 1976 computer science book by Niklaus Wirth

    Algorithms + Data Structures = Programs is a 1976 book written by Niklaus Wirth covering some of the fundamental topics of system engineering, computer

    Algorithms + Data Structures = Programs

    Algorithms_+_Data_Structures_=_Programs

  • Non-blocking algorithm
  • Algorithm in a thread whose failure cannot cause another thread to fail

    some operations, these algorithms provide a useful alternative to traditional blocking implementations. A non-blocking algorithm is lock-free if there

    Non-blocking algorithm

    Non-blocking_algorithm

  • Data structure
  • Particular way of storing and organizing data in a computer

    data structures. Rob Pike has stated that the choice of data structure almost always has a greater impact on efficiency than the choice of algorithm,

    Data structure

    Data structure

    Data_structure

  • Recursion (computer science)
  • Use of functions that call themselves

    finite recursive program, even if this program contains no explicit repetitions. — Niklaus Wirth, Algorithms + Data Structures = Programs, 1976 Most computer

    Recursion (computer science)

    Recursion (computer science)

    Recursion_(computer_science)

  • Heap (data structure)
  • Computer science data structure

    Discrete Algorithms, pp. 52–58 Goodrich, Michael T.; Tamassia, Roberto (2004). "7.3.6. Bottom-Up Heap Construction". Data Structures and Algorithms in Java

    Heap (data structure)

    Heap (data structure)

    Heap_(data_structure)

  • PL/0
  • Programming language

    simpler than Pascal. Originally introduced in the book Algorithms + Data Structures = Programs by Niklaus Wirth in 1976, it serves as an example for compiler

    PL/0

    PL/0

  • Outline of algorithms
  • Overview of and topical guide to algorithms

    implementation of algorithms and data-processing instructions in a programming language Data structure — organization of data used by algorithms Heuristic —

    Outline of algorithms

    Outline_of_algorithms

  • Niklaus Wirth
  • Swiss computer scientist (1934–2024)

    programming around the world, and his paper "Program Development by Stepwise Refinement" (1971) and his book Algorithms + Data Structures = Programs (1976)

    Niklaus Wirth

    Niklaus Wirth

    Niklaus_Wirth

  • Pascal (programming language)
  • Programming language

    Niklaus' book Algorithms + Data Structures = Programs). Several constructs were added to use Pascal-FC as a teaching tool for Concurrent Programming (such as

    Pascal (programming language)

    Pascal_(programming_language)

  • Array (data structure)
  • Type of data structure

    and most important data structures, and are used by almost every program. They are also used to implement many other data structures, such as lists and

    Array (data structure)

    Array_(data_structure)

  • Passive data structure
  • Another term for record

    non-static data members differs. Black, Paul E.; Vreda Pieterse (2007). "passive data structure". Dictionary of Algorithms and Data Structures. Retrieved

    Passive data structure

    Passive_data_structure

  • Persistent data structure
  • Data structure that always preserves the previous version of itself when it is modified

    when it is modified. Such data structures are effectively immutable, as their operations do not (visibly) update the structure in-place, but instead always

    Persistent data structure

    Persistent_data_structure

  • Sorting algorithm
  • Algorithm that arranges lists in order

    Although some algorithms are designed for sequential access, the highest-performing algorithms assume data is stored in a data structure which allows random

    Sorting algorithm

    Sorting algorithm

    Sorting_algorithm

  • Cache replacement policies
  • Algorithm for caching data

    replacement algorithms or cache algorithms) are optimizing instructions or algorithms which a computer program or hardware-maintained structure can utilize

    Cache replacement policies

    Cache_replacement_policies

  • List of mathematics books
  • Kurt Gödel Algorithms + Data Structures = Programs — Niklaus Wirth Algorithms Unlocked — Thomas H. Cormen The Art of Computer Programming — Donald Knuth

    List of mathematics books

    List_of_mathematics_books

  • Succinct data structure
  • Data structure which is efficient to both store in memory and query

    trees, and planar graphs. Unlike general lossless data compression algorithms, succinct data structures retain the ability to use them in-place, without

    Succinct data structure

    Succinct_data_structure

  • Outline of computer science
  • Overview of and topical guide to computer science

    Study of discrete structures. Used in digital computer systems. Graph theory – Foundations for data structures and searching algorithms. Mathematical logic

    Outline of computer science

    Outline_of_computer_science

  • Dijkstra's algorithm
  • Algorithm for finding shortest paths

    employed as a subroutine in algorithms such as Johnson's algorithm. The algorithm uses a min-priority queue data structure for selecting the shortest paths

    Dijkstra's algorithm

    Dijkstra's algorithm

    Dijkstra's_algorithm

  • Linked data structure
  • Way of storing data in a computer

    and processor caching algorithms (since they generally have poor locality of reference). In some cases, linked data structures may also use more memory

    Linked data structure

    Linked_data_structure

  • XPL0
  • Computer programming language

    XPL0 is based on PL/0, an example compiler in the book Algorithms + Data Structures = Programs by Niklaus Wirth. The first XPL0 compiler was written in

    XPL0

    XPL0

  • Anders Hejlsberg
  • Danish software engineer (born 1960)

    inspired by the "Tiny Pascal" compiler in Niklaus Wirth's Algorithms + Data Structures = Programs. He rewrote it for CP/M and MS-DOS, marketing it first

    Anders Hejlsberg

    Anders Hejlsberg

    Anders_Hejlsberg

  • Rope (data structure)
  • Data structure for storing strings

    In computer programming, a rope, or cord, is a data structure composed of smaller strings that is used to efficiently store and manipulate longer strings

    Rope (data structure)

    Rope (data structure)

    Rope_(data_structure)

  • Program optimization
  • Improving the efficiency of software

    good choice of efficient algorithms and data structures, and efficient implementation of these algorithms and data structures comes next. After design

    Program optimization

    Program_optimization

  • Glossary of computer science
  • technologies. algorithm design A method or mathematical process for problem-solving and for engineering algorithms. The design of algorithms is part of many

    Glossary of computer science

    Glossary_of_computer_science

  • Structure
  • Arrangement of interrelated elements in an object/system, or the object/system itself

    integral part of the algorithm. In modern programming style, algorithms and data structures are encapsulated together in an abstract data type. Software architecture

    Structure

    Structure

    Structure

  • Steensgaard's algorithm
  • a union-find data structure. This choice gives the algorithm its characteristic speed; when implemented using a union-find data structure it is linear

    Steensgaard's algorithm

    Steensgaard's_algorithm

  • Nearest neighbor search
  • Optimization problem in computer science

    usefulness of the algorithms are determined by the time complexity of queries as well as the space complexity of any search data structures that must be maintained

    Nearest neighbor search

    Nearest_neighbor_search

  • Jackson structured programming
  • Computer programming method

    describes structures (of both data and programs) using three basic structures – sequence, iteration, and selection (or alternatives). These structures are diagrammed

    Jackson structured programming

    Jackson structured programming

    Jackson_structured_programming

  • Recursive descent parser
  • Top-down parser utilizing recursion

    grammar (for Niklaus Wirth's PL/0 programming language, from Algorithms + Data Structures = Programs) is in LL(1) form: program = block "." . block = ["const"

    Recursive descent parser

    Recursive_descent_parser

  • Abstract data type
  • Mathematical model for data types

    used in formal semantics and program verification and, less strictly, in the design and analysis of algorithms, data structures, and software systems. Most

    Abstract data type

    Abstract_data_type

  • Stack (abstract data type)
  • Abstract data type

    Dictionary of Algorithms and Data Structures. NIST. Knuth, Donald (1997). "§2.2.1: Stacks, Queues, and Deques". The Art of Computer Programming. Vol. 1: Fundamental

    Stack (abstract data type)

    Stack (abstract data type)

    Stack_(abstract_data_type)

  • Skeleton (computer programming)
  • Design pattern in software development

    develop programs that work on large data based software, usually identifying the connections between data for later use. Data parallel algorithms include

    Skeleton (computer programming)

    Skeleton_(computer_programming)

  • Associative array
  • Data structure holding key/value pairs

    trees, or other more specialized structures. Many programming languages include associative arrays as primitive data types, while many other languages

    Associative array

    Associative_array

  • Genetic algorithm
  • Competitive algorithm for searching a problem space

    ISBN 978-0262111706. Michalewicz, Zbigniew (1996). Genetic Algorithms + Data Structures = Evolution Programs. Springer-Verlag. ISBN 978-3540606765. Mitchell, Melanie

    Genetic algorithm

    Genetic algorithm

    Genetic_algorithm

  • Concurrent data structure
  • Data structure that can be used by multiple threads

    liveness requirements tend to define the data structure. The method calls can be blocking or non-blocking. Data structures are not restricted to one type or

    Concurrent data structure

    Concurrent_data_structure

  • Semi-structured data
  • Data organized by tags but not tables

    Semi-structured data is a form of structured data that is not rigidly structured. The data model associated with semi-structured data is interpreted when

    Semi-structured data

    Semi-structured_data

  • Galactic algorithm
  • Classification of algorithm

    on any data sets on Earth. Even if they are never used in practice, galactic algorithms may still contribute to computer science: An algorithm, even if

    Galactic algorithm

    Galactic_algorithm

  • Algorithm
  • Sequence of operations for a task

    division algorithm. During the Hammurabi dynasty c. 1800 – c. 1600 BC, Babylonian clay tablets described algorithms for computing formulas. Algorithms were

    Algorithm

    Algorithm

    Algorithm

  • Robert Tarjan
  • American computer scientist and mathematician

    graph theory algorithms and data structures. Some of his well-known algorithms include Tarjan's off-line least common ancestors algorithm, Tarjan's strongly

    Robert Tarjan

    Robert Tarjan

    Robert_Tarjan

  • Retrieval Data Structure
  • coupling in hashing-based data structures". In Marx, Dániel (ed.). Proceedings of the 2021 ACM-SIAM Symposium on Discrete Algorithms, SODA 2021, Virtual Conference

    Retrieval Data Structure

    Retrieval_Data_Structure

  • Hash table
  • Associative array for storing key–value pairs

    of: Data Structures/Hash Tables NIST entry on hash tables Open Data Structures – Chapter 5 – Hash Tables, Pat Morin MIT's Introduction to Algorithms: Hashing

    Hash table

    Hash table

    Hash_table

  • Kruskal's algorithm
  • Minimum spanning forest algorithm that greedily adds edges

    Tamassia. Data Structures and Algorithms in Java, Fourth Edition. John Wiley & Sons, Inc., 2006. ISBN 0-471-73884-0. Section 13.7.1: Kruskal's Algorithm, pp

    Kruskal's algorithm

    Kruskal's algorithm

    Kruskal's_algorithm

  • Data science
  • Field of study to extract knowledge from data

    visualization, algorithms, coding (like Python, SQL, and R), and systems to extract or extrapolate knowledge from potentially noisy, structured, or unstructured

    Data science

    Data science

    Data_science

  • Digital data
  • Discrete, discontinuous representation of information

    editor program. Metaprogramming similarly involves programs manipulating other programs as data. Programs like compilers, linkers, debuggers, program updaters

    Digital data

    Digital data

    Digital_data

  • Merge sort
  • Divide and conquer sorting algorithm

    Goldwasser, Michael H. (2013). "Chapter 12 - Sorting and Selection". Data structures and algorithms in Python (1st ed.). Hoboken [NJ]: Wiley. pp. 538–549. ISBN 978-1-118-29027-9

    Merge sort

    Merge sort

    Merge_sort

  • Search algorithm
  • Any algorithm which solves the search problem

    be applied on data structures with a defined order. Digital search algorithms work based on the properties of digits in data structures by using numerical

    Search algorithm

    Search algorithm

    Search_algorithm

  • Programming paradigm
  • High-level computer programming conceptualization

    associated behavior, uses data structures consisting of data fields and methods together with their interactions (objects) to design programs Class-based – object-oriented

    Programming paradigm

    Programming_paradigm

  • In-place algorithm
  • Type of computer science algorithm

    In computer science, an in-place algorithm is an algorithm that operates directly on the input data structure without requiring extra space proportional

    In-place algorithm

    In-place_algorithm

  • Genetic programming
  • Evolving computer programs with techniques analogous to natural genetic processes

    different offspring that become part of the new generation of programs. Some programs not selected for reproduction are copied from the current generation

    Genetic programming

    Genetic programming

    Genetic_programming

  • Algorithmic bias
  • Technological phenomenon with social implications

    determine how programs read, collect, process, and analyze data to generate a usable output. For a rigorous technical introduction, see Algorithms. Advances

    Algorithmic bias

    Algorithmic bias

    Algorithmic_bias

  • Machine learning
  • Subset of artificial intelligence

    statistical algorithms that can learn from data and generalize to unseen data, and thus perform tasks without being explicitly programmed. Statistics

    Machine learning

    Machine_learning

  • Eight queens puzzle
  • Mathematical problem set on a chessboard

    Computer Laboratory. UCAM-CL-TR-433. Wirth, Niklaus (1976). Algorithms + Data Structures = Programs. Prentice-Hall Series in Automatic Computation. Prentice-Hall

    Eight queens puzzle

    Eight_queens_puzzle

  • Algorithmic logic
  • Logic for mathematics

    Algorithmic logic is a calculus of programs that allows the expression of semantic properties of programs by appropriate logical formulas. It provides

    Algorithmic logic

    Algorithmic_logic

  • K-means clustering
  • Vector quantization algorithm minimizing the sum of squared deviations

    efficient heuristic algorithms converge quickly to a local optimum. These are usually similar to the expectation–maximization algorithm for mixtures of Gaussian

    K-means clustering

    K-means_clustering

  • Lemke's algorithm
  • is named after Carlton E. Lemke. Lemke's algorithm is of pivoting or basis-exchange type. Similar algorithms can compute Nash equilibria for two-person

    Lemke's algorithm

    Lemke's_algorithm

  • String (computer science)
  • Sequence of characters, data type

    the theory of algorithms and data structures used for string processing. Some categories of algorithms include: String searching algorithms for finding

    String (computer science)

    String (computer science)

    String_(computer_science)

  • Queue (abstract data type)
  • Abstract data type

    linear data structure, or more abstractly a sequential collection. Queues are common in computer programs, where they are implemented as data structures coupled

    Queue (abstract data type)

    Queue (abstract data type)

    Queue_(abstract_data_type)

  • AlphaDev
  • AI model that developer a super-human sorting algorithm

    they are applied. For variable sort algorithms, AlphaDev discovered fundamentally different algorithm structures. For example, for VarSort4 (sort up to

    AlphaDev

    AlphaDev

  • Program structure tree
  • (1990), "On-line graph algorithms with SPQR-trees", Proc. 17th International Colloquium on Automata, Languages and Programming, Lecture Notes in Computer

    Program structure tree

    Program_structure_tree

  • Aho–Corasick algorithm
  • String-searching algorithm

    Wikimedia Commons has media related to Aho–Corasick algorithm. Aho—Corasick in NIST's Dictionary of Algorithms and Data Structures (2019-07-15)

    Aho–Corasick algorithm

    Aho–Corasick algorithm

    Aho–Corasick_algorithm

  • Lossless compression
  • Data compression approach allowing perfect reconstruction of the original data

    compression algorithm can shrink the size of all possible data: Some data will get longer by at least one symbol or bit. Compression algorithms are usually

    Lossless compression

    Lossless_compression

  • Community structure
  • Concept in graph theory

    is usually intractable, practical algorithms are based on approximate optimization methods such as greedy algorithms, simulated annealing, or spectral

    Community structure

    Community structure

    Community_structure

  • Adaptive k-d tree
  •  This article incorporates public domain material from Paul E. Black. "Adaptive k-d tree". Dictionary of Algorithms and Data Structures. NIST. v t e v t e

    Adaptive k-d tree

    Adaptive_k-d_tree

  • Code: The Hidden Language of Computer Hardware and Software
  • 1999 book by Charles Petzold

    programs you can actually use" and other introductory and mid-level computer science and engineering courses. Algorithms + Data Structures = Programs –

    Code: The Hidden Language of Computer Hardware and Software

    Code:_The_Hidden_Language_of_Computer_Hardware_and_Software

  • P-code machine
  • Programming virtual machine

    simple p-code machine in the 1976 book Algorithms + Data Structures = Programs. The machine had 3 registers - a program counter p, a base register b and a

    P-code machine

    P-code_machine

  • Tree traversal
  • Class of algorithms

    in a tree data structure exactly once. Such traversals are classified by the order in which the nodes are visited. The following algorithms are described

    Tree traversal

    Tree_traversal

  • Directed acyclic graph
  • Directed graph with no directed cycles

    multiplication algorithms; this is a theoretical improvement over the O(mn) bound for dense graphs. In all of these transitive closure algorithms, it is possible

    Directed acyclic graph

    Directed acyclic graph

    Directed_acyclic_graph

  • Conflict-free replicated data type
  • Type of data structure

    concurrently and without coordinating with other replicas. An algorithm (itself part of the data type) automatically resolves any inconsistencies that might

    Conflict-free replicated data type

    Conflict-free_replicated_data_type

  • Graph (abstract data type)
  • Abstract data type in computer science

    Dietzfelbinger, Martin; Dementiev, Roman (2019). Sequential and Parallel Algorithms and Data Structures: The Basic Toolbox. Springer International Publishing. ISBN 978-3-030-25208-3

    Graph (abstract data type)

    Graph (abstract data type)

    Graph_(abstract_data_type)

  • Data type
  • Attribute of data

    object-oriented models, whereas a structured programming model would tend to not include code, and are called plain old data structures. Data types may be categorized

    Data type

    Data type

    Data_type

  • Lexical analysis
  • Conversion of character sequences into token sequences in computer science

    Compiling with C# and Java, Pat Terry, 2005, ISBN 032126360X Algorithms + Data Structures = Programs, Niklaus Wirth, 1975, ISBN 0-13-022418-9 Compiler Construction

    Lexical analysis

    Lexical_analysis

  • Chaitin's algorithm
  • Register allocation algorithm

    register allocation: A study of the Chaitin-Briggs and Callahan-Koblenz algorithms" (PDF). International Workshop on Languages and Compilers for Parallel

    Chaitin's algorithm

    Chaitin's_algorithm

  • Iteration
  • Repetition of a process

    classic example of recursion is in list-sorting algorithms, such as merge sort. The merge sort recursive algorithm first repeatedly divides the list into consecutive

    Iteration

    Iteration

  • Evolutionary algorithm
  • Subset of evolutionary computation

    Evolutionary algorithms (EA) reproduce essential elements of biological evolution in a computer algorithm in order to solve "difficult" problems, at least

    Evolutionary algorithm

    Evolutionary algorithm

    Evolutionary_algorithm

  • Analysis of algorithms
  • Study of resources used by an algorithm

    computer science, the analysis of algorithms is the process of finding the computational complexity of algorithms—the amount of time, storage, or other

    Analysis of algorithms

    Analysis of algorithms

    Analysis_of_algorithms

  • Competitive programming
  • Mind sport

    theory, graph theory, algorithmic game theory, computational geometry, string analysis, discrete mathematics and data structures. Problems related to constraint

    Competitive programming

    Competitive programming

    Competitive_programming

  • Comparison of data structures
  • Discrete Algorithms, pp. 52–58 Goodrich, Michael T.; Tamassia, Roberto (2004). "7.3.6. Bottom-Up Heap Construction". Data Structures and Algorithms in Java

    Comparison of data structures

    Comparison_of_data_structures

  • Data analysis
  • insights from data. Data analysis tools are software aids, programs and applications that help professionals analyse large and small data sets. They can

    Data analysis

    Data_analysis

  • Knuth's Simpath algorithm
  • Slitherlink by ZDDs". Algorithms. 5 (2): 176–213. doi:10.3390/a5020176. Wikiquote has quotations related to Knuth's Simpath algorithm. Graphillion library

    Knuth's Simpath algorithm

    Knuth's_Simpath_algorithm

  • Algorithmic composition
  • Technique of using algorithms to create music

    Algorithmic composition is the technique of using algorithms to create music. Algorithms (or, at the very least, formal sets of rules) have been used to

    Algorithmic composition

    Algorithmic_composition

  • Randomized algorithm
  • Algorithm that employs a degree of randomness as part of its logic or procedure

    (Las Vegas algorithms, for example Quicksort), and algorithms which have a chance of producing an incorrect result (Monte Carlo algorithms, for example

    Randomized algorithm

    Randomized_algorithm

  • Data Encryption Standard
  • Early unclassified symmetric-key block cipher

    The Data Encryption Standard (DES /ˌdiːˌiːˈɛs, dɛz/) is a symmetric-key algorithm for the encryption of digital data. Although its short key length of

    Data Encryption Standard

    Data Encryption Standard

    Data_Encryption_Standard

  • Outline of computer programming
  • Overview of and topical guide to computer programming

    programs. Programming involves activities such as analysis, developing understanding, generating algorithms, verification of requirements of algorithms including

    Outline of computer programming

    Outline_of_computer_programming

  • The Art of Computer Programming
  • Books about algorithms by Donald Knuth

    (1973). "Review: The Art of Computer Programming, Volume 1. Fundamental Algorithms and Volume 2. Seminumerical Algorithms by Donald E. Knuth" (PDF). Bulletin

    The Art of Computer Programming

    The Art of Computer Programming

    The_Art_of_Computer_Programming

  • Literate programming
  • Approach to software development

    state-of-the-art algorithms and data structures, and provide examples of their use. MMIXware, Knuth's software to support MMIX programming and run simulations

    Literate programming

    Literate_programming

  • List of algorithms
  • scheduling algorithm to reduce seek time. List of artificial intelligence algorithms List of data structures List of machine learning algorithms List of

    List of algorithms

    List_of_algorithms

  • Bloom filter
  • Data structure for approximate set membership

    identification in round-trip data streams via Newton's identities and invertible Bloom filters", Algorithms and Data Structures, 10th International Workshop

    Bloom filter

    Bloom_filter

  • List (abstract data type)
  • Finite, ordered collection of items

    (1996). Structure and Interpretation of Computer Programs. MIT Press. Barnett, Granville; Del tonga, Luca (2008). "Data Structures and Algorithms" (PDF)

    List (abstract data type)

    List_(abstract_data_type)

  • Computer programming
  • Process to create executable computer programs

    Cooper and Michael Clancy's Oh Pascal! (1982), Alfred Aho's Data Structures and Algorithms (1983), and Daniel Watt's Learning with Logo (1983). As personal

    Computer programming

    Computer_programming

  • Active data structure
  • Data with an associated thread or process

    (Thesis).  This article incorporates public domain material from Paul E. Black. "Active Data Structure". Dictionary of Algorithms and Data Structures. NIST.

    Active data structure

    Active_data_structure

  • Trace table
  • Software testing technique

    A trace table is a technique used to test algorithms in order to make sure that no logical errors occur while the calculations are being processed. The

    Trace table

    Trace_table

  • Selection algorithm
  • Method for finding kth smallest value

    Often, selection algorithms are restricted to a comparison-based model of computation, as in comparison sort algorithms, where the algorithm has access to

    Selection algorithm

    Selection_algorithm

  • Breadth-first search
  • Algorithm to search the nodes of a graph

    computer science, breadth-first search (BFS) is an algorithm for searching a tree data structure for a node that satisfies a given property. It starts

    Breadth-first search

    Breadth-first search

    Breadth-first_search

  • Data mining
  • Process of analyzing large data sets

    considerations, post-processing of discovered structures, visualization, and online updating. The term "data mining" is a misnomer because the goal is the

    Data mining

    Data_mining

  • Linked list
  • Data structure with nodes pointing to the next node

    LISP's major data structures is the linked list. By the early 1960s, the utility of both linked lists and languages which use these structures as their primary

    Linked list

    Linked_list

  • Implicit data structure
  • Categorization among data structures

    defined an implicit data structure (and algorithms acting on one) as one "in which structural information is implicit in the way data are stored, rather

    Implicit data structure

    Implicit_data_structure

  • Ellis Horowitz
  • American computer scientist

    Horowitz is best known for his computer science textbooks on data structures and algorithms, co-authored with Sartaj Sahni. At USC, Horowitz was chairman

    Ellis Horowitz

    Ellis Horowitz

    Ellis_Horowitz

  • Robustness (computer science)
  • Ability of a computer system to cope with errors during execution

    typically refers to the robustness of machine learning algorithms. For a machine learning algorithm to be considered robust, either the testing error has

    Robustness (computer science)

    Robustness_(computer_science)

  • Rule induction
  • Area of machine learning

    Association rule learning algorithms (e.g., Agrawal) Decision rule algorithms (e.g., Quinlan 1987) Hypothesis testing algorithms (e.g., RULEX) Horn clause

    Rule induction

    Rule induction

    Rule_induction

  • Branching factor
  • Number of children at each node of a tree

    In computing, tree data structures, and game theory, the branching factor is the number of children at each node, the outdegree. If this value is not

    Branching factor

    Branching factor

    Branching_factor

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