• static problems in this context and solved by static algorithms) have meaningful dynamic versions. Incremental algorithms, or online algorithms, are algorithms...
    4 KB (546 words) - 07:33, 21 July 2025
  • Thumbnail for Greedy algorithm
    branch-and-bound algorithm. There are a few variations to the greedy algorithm: Pure greedy algorithms Orthogonal greedy algorithms Relaxed greedy algorithms Greedy...
    18 KB (1,964 words) - 16:36, 25 July 2025
  • Thumbnail for Knapsack problem
    complex algorithms, there has been substantial research on creating and analyzing algorithms that approximate a solution. The knapsack problem, though...
    49 KB (7,744 words) - 16:05, 3 August 2025
  • Thumbnail for Shortest path problem
    well-known algorithms exist for solving this problem and its variants. Dijkstra's algorithm solves the single-source shortest path problem with only non-negative...
    46 KB (4,790 words) - 00:08, 24 June 2025
  • Thumbnail for Needleman–Wunsch algorithm
    Needleman–Wunsch algorithm is an algorithm used in bioinformatics to align protein or nucleotide sequences. It was one of the first applications of dynamic programming...
    25 KB (3,217 words) - 12:10, 12 July 2025
  • Thumbnail for Algorithm
    perform a computation. Algorithms are used as specifications for performing calculations and data processing. More advanced algorithms can use conditionals...
    61 KB (7,016 words) - 18:37, 15 July 2025
  • Thumbnail for Dynamic programming
    Dynamic programming is both a mathematical optimization method and an algorithmic paradigm. The method was developed by Richard Bellman in the 1950s and...
    59 KB (9,146 words) - 13:00, 28 July 2025
  • Thumbnail for Dijkstra's algorithm
    First). It is also employed as a subroutine in algorithms such as Johnson's algorithm. The algorithm uses a min-priority queue data structure for selecting...
    45 KB (5,638 words) - 02:33, 21 July 2025
  • AC-3 algorithm, which enforces arc consistency. Local search methods are incomplete satisfiability algorithms. They may find a solution of a problem, but...
    29 KB (3,364 words) - 22:02, 19 June 2025
  • Thumbnail for Travelling salesman problem
    for Exponential-Time Dynamic Programming Algorithms". Proceedings of the Thirtieth Annual ACM-SIAM Symposium on Discrete Algorithms. pp. 1783–1793. doi:10...
    87 KB (11,604 words) - 02:24, 25 June 2025
  • Thumbnail for Maximum subarray problem
    Although this problem can be solved using several different algorithmic techniques, including brute force, divide and conquer, dynamic programming, and...
    20 KB (2,467 words) - 15:17, 26 February 2025
  • Page replacement algorithm Algorithms for calculating variance Ukkonen's algorithm A problem exemplifying the concepts of online algorithms is the Canadian...
    6 KB (708 words) - 13:17, 23 June 2025
  • Thumbnail for Dynamic time warping
    In time series analysis, dynamic time warping (DTW) is an algorithm for measuring similarity between two temporal sequences, which may vary in speed. For...
    32 KB (3,863 words) - 02:31, 2 August 2025
  • Thumbnail for Mathematical optimization
    Differential evolution Dynamic relaxation Evolutionary algorithms Genetic algorithms Hill climbing with random restart Memetic algorithm Nelder–Mead simplicial...
    53 KB (6,165 words) - 15:32, 2 August 2025
  • Thumbnail for Minimum spanning tree
    applications in parsing algorithms for natural languages and in training algorithms for conditional random fields. The dynamic MST problem concerns the update...
    44 KB (5,460 words) - 15:05, 21 June 2025
  • Thumbnail for Reinforcement learning
    many reinforcement learning algorithms use dynamic programming techniques. The main difference between classical dynamic programming methods and reinforcement...
    69 KB (8,198 words) - 17:43, 6 August 2025
  • polynomial time dynamic programming algorithm. However, the exponent of the polynomial depends on the clique-width of the graph, so this algorithms is not fixed-parameter...
    22 KB (2,662 words) - 06:47, 12 May 2025
  • Thumbnail for Closest pair of points problem
    study of the computational complexity of geometric algorithms. Randomized algorithms that solve the problem in linear time are known, in Euclidean spaces whose...
    9 KB (1,215 words) - 09:28, 29 December 2024
  • the problem can be produced with sophisticated algorithms. In addition, many approximation algorithms exist. For example, the first fit algorithm provides...
    53 KB (7,098 words) - 23:25, 26 July 2025
  • efficient algorithms. It was the key, for example, to Karatsuba's fast multiplication method, the quicksort and mergesort algorithms, the Strassen algorithm for...
    21 KB (2,894 words) - 09:50, 14 May 2025
  • algorithms (also known as force-directed algorithms or spring-based algorithm) Spectral layout Network analysis Link analysis Girvan–Newman algorithm:...
    72 KB (7,951 words) - 17:13, 5 June 2025
  • approximation algorithms are efficient algorithms that find approximate solutions to optimization problems (in particular NP-hard problems) with provable...
    23 KB (3,126 words) - 12:31, 25 April 2025
  • is still the fastest. Also, a dynamic programming algorithm of Bellman, Held, and Karp can be used to solve the problem in time O(n2 2n). In this method...
    21 KB (2,518 words) - 00:50, 4 August 2025
  • Thumbnail for Evolutionary algorithm
    Evolutionary algorithms (EA) reproduce essential elements of biological evolution in a computer algorithm in order to solve "difficult" problems, at least...
    40 KB (4,547 words) - 10:55, 1 August 2025
  • Thumbnail for Genetic algorithm
    algorithms (EA). Genetic algorithms are commonly used to generate high-quality solutions to optimization and search problems via biologically inspired...
    69 KB (8,221 words) - 21:33, 24 May 2025
  • closed. Algorithm A is optimally efficient with respect to a set of alternative algorithms Alts on a set of problems P if for every problem P in P and...
    43 KB (5,547 words) - 00:01, 20 June 2025
  • Thumbnail for Approximate string matching
    Approximate string matching (category String matching algorithms)
    index. Early algorithms for online approximate matching were suggested by Wagner and Fischer and by Sellers. Both algorithms are based on dynamic programming...
    16 KB (1,910 words) - 05:45, 19 July 2025
  • algorithms based on greedy algorithm, dynamic programming can give a relatively “good” solution to the 0-1 QKP efficiently. The brute-force algorithm...
    24 KB (3,930 words) - 20:59, 27 July 2025
  • of algorithms that can be stated in terms of geometry. Some purely geometrical problems arise out of the study of computational geometric algorithms, and...
    15 KB (2,116 words) - 18:43, 23 June 2025
  • Thumbnail for Longest common subsequence
    input sequences, the problem is NP-hard. When the number of sequences is constant, the problem is solvable in polynomial time by dynamic programming. Given...
    35 KB (4,355 words) - 22:13, 6 April 2025