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
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
Dijkstra's algorithm (redirect from Dijkstra's shortest path)
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
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
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
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
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
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
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
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
Knight's tour (redirect from Knight's tour problem)
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 (redirect from Path planning)
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
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
Bellman–Ford algorithm (redirect from Shortest path faster 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
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
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
Directed acyclic graph (section Path algorithms)
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
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
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
Pope (redirect from 10 Longest Reigning Popes)
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
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
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