• {B, D, F}. Knuth's main purpose in describing Algorithm X was to demonstrate the utility of dancing links. Knuth showed that Algorithm X can be implemented...
    15 KB (1,335 words) - 06:55, 5 January 2025
  • Dancing Links (category Search algorithms)
    efficiently implementing backtracking algorithms, such as Knuth's Algorithm X for the exact cover problem. Algorithm X is a recursive, nondeterministic, depth-first...
    8 KB (1,042 words) - 20:43, 2 August 2025
  • In computer science, the Knuth–Morris–Pratt algorithm (or KMP algorithm) is a string-searching algorithm that searches for occurrences of a "word" W within...
    34 KB (4,204 words) - 06:50, 30 June 2025
  • Thumbnail for Donald Knuth
    Links Knuth–Bendix completion algorithm Knuth Prize Knuth shuffle Knuth's Algorithm X Knuth's Simpath algorithm Knuth's up-arrow notation Knuth–Morris–Pratt...
    69 KB (6,292 words) - 10:03, 1 August 2025
  • abbreviated X3C. Knuth's Algorithm X is an algorithm that finds all solutions to an exact cover problem. DLX is the name given to Algorithm X when it is implemented...
    36 KB (4,324 words) - 08:35, 27 June 2025
  • Thumbnail for TeX
    the time when TeX was released. Some of the innovations are based on interesting algorithms, and have led to several theses for Knuth's students. While...
    52 KB (6,164 words) - 23:01, 5 August 2025
  • In computer science, the Knuth–Eve algorithm is an algorithm for polynomial evaluation. It preprocesses the coefficients of the polynomial to reduce the...
    10 KB (1,529 words) - 22:00, 31 July 2025
  • Thumbnail for Sudoku solving algorithms
    Modelling Sudoku as an exact cover problem and using an algorithm such as Knuth's Algorithm X and his Dancing Links technique "is the method of choice...
    15 KB (1,945 words) - 08:11, 28 February 2025
  • Thumbnail for Algorithm
    In mathematics and computer science, an algorithm (/ˈælɡərɪðəm/ ) is a finite sequence of mathematically rigorous instructions, typically used to solve...
    61 KB (7,016 words) - 18:37, 15 July 2025
  • mathematics, the Robinson–Schensted–Knuth correspondence, also referred to as the RSK correspondence or RSK algorithm, is a combinatorial bijection between...
    14 KB (2,102 words) - 00:21, 5 April 2025
  • The Knuth–Bendix completion algorithm (named after Donald Knuth and Peter Bendix) is a semi-decision algorithm for transforming a set of equations (over...
    21 KB (2,412 words) - 17:25, 14 July 2025
  • The Knuth–Plass algorithm is a line-breaking algorithm designed for use in Donald Knuth's typesetting program TeX. It integrates the problems of text...
    6 KB (681 words) - 20:29, 23 May 2025
  • Thumbnail for The Art of Computer Programming
    Programming", "Fundamental Algorithms", took five years to complete between 1963 and 1968 while working at both Caltech and Burroughs. Knuth's dedication in Volume...
    29 KB (2,943 words) - 07:23, 21 July 2025
  • formula Cumulant Data clustering Equivalence relation Exact cover Knuth's Algorithm X Dancing Links Exponential formula Faà di Bruno's formula Feshbach–Fano...
    4 KB (237 words) - 00:57, 26 February 2024
  • naïve algorithm to calculate the estimated variance is given by the following: Let n ← 0, Sum ← 0, SumSq ← 0 For each datum x: n ← n + 1 Sum ← Sum + x SumSq...
    31 KB (5,774 words) - 18:55, 27 July 2025
  • Thumbnail for Euclidean algorithm
    In mathematics, the Euclidean algorithm, or Euclid's algorithm, is an efficient method for computing the greatest common divisor (GCD) of two integers...
    126 KB (15,342 words) - 01:03, 25 July 2025
  • x 0 ,   x 1 = f ( x 0 ) ,   x 2 = f ( x 1 ) ,   … ,   x i = f ( x i − 1 ) ,   … {\displaystyle x_{0},\ x_{1}=f(x_{0}),\ x_{2}=f(x_{1}),\ \dots ,\ x_{i}=f(x_{i-1})...
    34 KB (4,585 words) - 16:58, 27 July 2025
  • Thumbnail for Dijkstra's algorithm
    Dijkstra's algorithm (/ˈdaɪkstrəz/ DYKE-strəz) is an algorithm for finding the shortest paths between nodes in a weighted graph, which may represent,...
    45 KB (5,638 words) - 02:33, 21 July 2025
  • computer science, the Boyer–Moore string-search algorithm is an efficient string-searching algorithm that is the standard benchmark for practical string-search...
    23 KB (2,824 words) - 11:46, 27 July 2025
  • The TPK algorithm is a simple program introduced by Donald Knuth and Luis Trabb Pardo to illustrate the evolution of computer programming languages. In...
    9 KB (1,306 words) - 08:24, 1 April 2025
  • Thumbnail for Delaunay triangulation
    determinant: | A x A y A x 2 + A y 2 1 B x B y B x 2 + B y 2 1 C x C y C x 2 + C y 2 1 D x D y D x 2 + D y 2 1 | = | A x − D x A y − D y ( A x − D x ) 2 + ( A...
    29 KB (3,255 words) - 08:43, 18 June 2025
  • Count-distinct problem (category Statistical algorithms)
    p Compared to other approximation algorithms for the count-distinct problem the CVM Algorithm (named by Donald Knuth after the initials of Sourav Chakraborty...
    15 KB (2,130 words) - 12:59, 30 April 2025
  • which are integers x and y such that a x + b y = gcd ( a , b ) . {\displaystyle ax+by=\gcd(a,b).} This is a certifying algorithm, because the gcd is...
    28 KB (4,467 words) - 20:39, 9 June 2025
  • Thumbnail for Karatsuba algorithm
    The Karatsuba algorithm is a fast multiplication algorithm for integers. It was discovered by Anatoly Karatsuba in 1960 and published in 1962. It is a...
    13 KB (2,046 words) - 20:43, 4 May 2025
  • A galactic algorithm is an algorithm with record-breaking theoretical (asymptotic) performance, but which is not used due to practical constraints. Typical...
    22 KB (2,737 words) - 11:22, 29 July 2025
  • Thumbnail for Hash function
    Hash function (redirect from Hash algorithm)
    perceptual hashing algorithms, and provides a C-like API to use those functions in your own programs. pHash itself is written in C++. Knuth, Donald E. (1975)...
    50 KB (7,455 words) - 17:15, 31 July 2025
  • Thumbnail for Aztec diamond
    or generate distinct tilings. An alternative approach is to apply Knuth's Algorithm X to enumerate valid tilings for the problem. Stanley, Richard P. (1999)...
    11 KB (1,770 words) - 05:59, 19 May 2025
  • simplification of the Boyer–Moore string-search algorithm which is related to the Knuth–Morris–Pratt algorithm. The algorithm trades space for time in order to obtain...
    8 KB (1,008 words) - 01:52, 16 May 2025
  • Thumbnail for Merge-insertion sort
    computer science, merge-insertion sort or the Ford–Johnson algorithm is a comparison sorting algorithm published in 1959 by L. R. Ford Jr. and Selmer M. Johnson...
    11 KB (1,788 words) - 15:17, 30 October 2024
  • far from the optimum Knuth's heuristics can be was further proposed by Kurt Mehlhorn. While the O(n2) time taken by Knuth's algorithm is substantially better...
    19 KB (2,965 words) - 19:58, 19 June 2025