• 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) - 06:47, 12 May 2025
  • 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) - 20:53, 19 June 2025
  • 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...
    45 KB (5,638 words) - 20:26, 13 July 2025
  • 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...
    46 KB (4,790 words) - 00:08, 24 June 2025
  • 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) - 00:31, 24 April 2025
  • 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 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) - 08:14, 16 April 2025
  • 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...
    20 KB (2,403 words) - 04:01, 20 March 2025
  • 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 Longest common subsequence
    longest common substring: unlike substrings, subsequences are not required to occupy consecutive positions within the original sequences. The problem...
    35 KB (4,355 words) - 22:13, 6 April 2025
  • 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...
    19 KB (2,043 words) - 13:05, 14 May 2025
  • 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...
    87 KB (11,604 words) - 02:24, 25 June 2025
  • 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...
    22 KB (2,318 words) - 14:05, 21 May 2025
  • 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...
    72 KB (7,951 words) - 17:13, 5 June 2025
  • 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) - 23:46, 19 June 2025
  • 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) - 16:01, 10 July 2025
  • 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...
    22 KB (2,854 words) - 11:38, 24 May 2025
  • Thumbnail for NP-hardness
    NP-hardness (redirect from NP-Hard Problem)
    optimization problem Minimum vertex cover Maximum clique Longest simple path Graph coloring; an application: register allocation in compilers Lists of problems List...
    9 KB (1,119 words) - 00:35, 28 April 2025
  • 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 (1,581 words) - 16:43, 30 June 2025
  • 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 (3,170 words) - 16:32, 22 June 2025
  • 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...
    195 KB (20,033 words) - 13:09, 12 July 2025
  • 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 (5,646 words) - 17:54, 7 June 2025
  • 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
  • Determining if a particle path of an ideal fluid on a three dimensional domain eventually reaches a certain region in space. The problem of determining if a...
    16 KB (1,787 words) - 17:14, 23 June 2025
  • 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 (4,299 words) - 07:03, 10 May 2025
  • in a field of view Diameter (computational geometry), the problem of computing the longest distance between two of n {\displaystyle n} given points or...
    2 KB (311 words) - 05:39, 9 January 2025
  • Thumbnail for PATH (rail system)
    through the Holland Tunnel. The 81-day strike was the longest in PATH's history. Substantial growth in PATH ridership during the 1980s required expansion and...
    191 KB (18,210 words) - 03:14, 30 June 2025
  • Thumbnail for Pope
    tradition, Peter headed the church for 35 years, and has thus far been the longest-reigning pope in the history of the Catholic Church. Nowadays, the newly...
    176 KB (19,936 words) - 00:21, 16 July 2025
  • 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 (1,179 words) - 15:57, 18 May 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 (7,029 words) - 05:49, 11 July 2025