• computer science, the longest path problem is the problem of finding a simple path of maximum length in a given graph. A path is called simple if it...
    22 KB (2,662 words) - 19:57, 12 October 2024
  • Thumbnail for Path (graph theory)
    vertex-disjoint paths of length at most k. Glossary of graph theory Path graph Polygonal chain Shortest path problem Longest path problem Dijkstra's algorithm...
    10 KB (1,175 words) - 17:28, 18 October 2024
  • Thumbnail for Shortest path problem
    In graph theory, the shortest path problem is the problem of finding a path between two vertices (or nodes) in a graph such that the sum of the weights...
    43 KB (4,387 words) - 13:54, 5 November 2024
  • Thumbnail for Dijkstra's algorithm
    shortest path problem. A* search algorithm Bellman–Ford algorithm Euclidean shortest path Floyd–Warshall algorithm Johnson's algorithm Longest path problem Parallel...
    46 KB (5,894 words) - 17:25, 9 November 2024
  • Thumbnail for Optimal substructure
    substructure. Longest common subsequence problem Longest increasing subsequence Longest palindromic substring All-Pairs Shortest Path Any problem that can...
    6 KB (742 words) - 00:21, 15 July 2024
  • path problem, directed and undirected.: GT37, GT38, GT39  Induced subgraph isomorphism problem Graph intersection number: GT59  Longest path problem: ND29 ...
    29 KB (2,746 words) - 10:59, 2 November 2024
  • The longest uncrossed (or nonintersecting) knight's path is a mathematical problem involving a knight on the standard 8×8 chessboard or, more generally...
    3 KB (309 words) - 06:25, 14 October 2024
  • Thumbnail for Longest common subsequence
    longest common substring: unlike substrings, subsequences are not required to occupy consecutive positions within the original sequences. The problem...
    35 KB (4,253 words) - 16:43, 28 December 2023
  • Thumbnail for Hamiltonian path
    Hamiltonian path. The computational problems of determining whether such paths and cycles exist in graphs are NP-complete; see Hamiltonian path problem for details...
    18 KB (2,030 words) - 19:28, 20 September 2024
  • Thumbnail for Induced path
    The problem of finding the longest induced path or cycle in a hypercube, first posed by Kautz (1958), is known as the snake-in-the-box problem, and it...
    13 KB (1,486 words) - 07:48, 18 July 2024
  • Thumbnail for Travelling salesman problem
    computational complexity of the problem; see Hamiltonian path problem. Another related problem is the bottleneck travelling salesman problem: Find a Hamiltonian cycle...
    86 KB (11,528 words) - 05:20, 22 November 2024
  • minimum spanning tree of a set of points in the plane Longest path problem: find a simple path of maximum length in a given graph Minimum spanning tree...
    71 KB (7,829 words) - 14:00, 22 November 2024
  • Thumbnail for Critical path method
    identify its longest series of dependent activities (its longest path). These tools can display the critical path (and near-critical path activities if...
    19 KB (2,286 words) - 09:34, 19 October 2024
  • Thumbnail for Knight's tour
    boards. The knight's tour problem is an instance of the more general Hamiltonian path problem in graph theory. The problem of finding a closed knight's...
    21 KB (2,317 words) - 23:38, 15 November 2024
  • Thumbnail for Snake-in-the-box
    Snake-in-the-box (category Computational problems in graph theory)
    finding the longest possible induced path in a hypercube; it can be viewed as a special case of the induced subgraph isomorphism problem. There is a similar...
    13 KB (1,558 words) - 22:07, 28 January 2024
  • Motion planning, also path planning (also known as the navigation problem or the piano mover's problem) is a computational problem to find a sequence of...
    25 KB (3,119 words) - 03:16, 20 November 2024
  • Thumbnail for Directed acyclic graph
    take a team of workers to perform the task. The longest path in this DAG represents the critical path of the project, the one that controls the total...
    45 KB (5,626 words) - 19:17, 2 November 2024
  • Thumbnail for Clique problem
    algorithms for the longest decreasing subsequence problem. Conversely, every instance of the longest decreasing subsequence problem can be described equivalently...
    84 KB (9,905 words) - 17:15, 23 September 2024
  • resulting matrix describes the longest path distances in the graph. Sorting the vertices by the lengths of their longest incoming paths produces a topological...
    23 KB (3,176 words) - 20:08, 17 November 2024
  • Thumbnail for Bellman–Ford algorithm
    shortest paths from a single source vertex to all of the other vertices in a weighted digraph. It is slower than Dijkstra's algorithm for the same problem, but...
    21 KB (2,717 words) - 21:56, 21 November 2024
  • Thumbnail for Erdős–Szekeres theorem
    is of length at least s. Longest increasing subsequence problem Erdős, Paul; Szekeres, George (1935), "A combinatorial problem in geometry", Compositio...
    10 KB (1,174 words) - 15:57, 18 May 2024
  • particle path of an ideal fluid on a three dimensional domain eventually reaches a certain region in space. Lists of problems List of unsolved problems Reduction...
    14 KB (1,561 words) - 07:34, 13 October 2024
  • function continuous knapsack problem Cook reduction Cook's theorem counting sort covering CRCW Crew (algorithm) critical path problem CSP (communicating sequential...
    35 KB (3,137 words) - 09:36, 21 October 2024
  • Induced paths are induced subgraphs that are paths. The shortest path between any two vertices in an unweighted graph is always an induced path, because...
    4 KB (509 words) - 00:27, 21 October 2024
  • its vertex-deleted subgraphs. The snake-in-the-box problem: what is the longest possible induced path in an n {\displaystyle n} -dimensional hypercube graph...
    190 KB (19,533 words) - 03:03, 21 November 2024
  • Thumbnail for Chess problem
    pieces of the chessboard. A famous such problem is the knight's tour, in which one is to determine the path of a knight that visits each square of the...
    29 KB (4,256 words) - 13:57, 25 September 2024
  • Thumbnail for Tower of Hanoi
    different shortest paths. From every arbitrary distribution of disks, there are one or two different longest non-self-crossing paths to move all disks...
    50 KB (7,008 words) - 17:20, 3 November 2024
  • Thumbnail for Small-world experiment
    small world problem. An alternative view of the problem is to imagine the population as a social network and attempt to find the average path length between...
    26 KB (3,378 words) - 19:44, 26 August 2024
  • Thumbnail for Program evaluation and review technique
    the critical path and if any activities have slack. The critical path is the path that takes the longest to complete. To determine the path times, add the...
    28 KB (3,839 words) - 11:10, 3 October 2024
  • computer science, such as the lowest common ancestor problem and the longest common prefix problem (LCP). Given an array A[1 … n] of n objects taken from...
    14 KB (1,588 words) - 22:43, 16 April 2024