Dijkstra's algorithm (/ˈdaɪkstrəz/ DYKE-strəz) is an algorithm for finding the shortest paths between nodes in a weighted graph, which may represent, for...

algorithmic graph theory is the shortest path problem. Hereby, the problem of finding the shortest path between every pair of nodes is known as all-pair-shortest-paths...

problem is the all-pairs-shortest-paths (APSP) problem, which also has parallel approaches: Parallel all-pairs shortest path algorithm. Let G = ( V ,...

shortest paths in a directed weighted graph with positive or negative edge weights (but with no negative cycles). A single execution of the algorithm...

in topological order. Then the following algorithm computes the shortest path from some source vertex s to all other vertices: Let d be an array of the...

how the length of the augmenting path found by the algorithm (in red) never decreases. The paths found are the shortest possible. The flow found is equal...

amendment to the IEEE 802.1Q networking standard which adds support for Shortest Path Bridging (SPB). This technology is intended to simplify the creation...

that it uses shortest augmenting paths. The introduction of the concepts of the level graph and blocking flow enable Dinic's algorithm to achieve its...

shortest path algorithm". Algorithms for Competitive Programming. Retrieved 14 May 2023. "Solving assignment problem using min-cost-flow". Algorithms...

F} if and only if it ends a shortest augmenting path. The algorithm finds a maximal set of vertex disjoint augmenting paths of length k {\displaystyle...

L.; Willard, D. E. (1994), "Trans-dichotomous algorithms for minimum spanning trees and shortest paths", Journal of Computer and System Sciences, 48 (3):...

vertices Hamiltonian path – a path that visits each vertex exactly once. Route inspection problem, search for the shortest path that visits all edges, possibly...

algorithm for the shortest path problem is a successive approximation scheme that solves the dynamic programming functional equation for the shortest...

is the subject of research in the field of parallel computers. Two main approaches exist: static algorithms, which do not take into account the state of...

In computer science, a selection algorithm is an algorithm for finding the k {\displaystyle k} th smallest value in a collection of ordered values, such...

representation adversary algorithm algorithm BSTW algorithm FGK algorithmic efficiency algorithmically solvable algorithm V all pairs shortest path alphabet Alpha...

minimal sum of edge weights among all possible paths. The shortest path in a graph can be computed using Dijkstra's algorithm but, given that road networks...

O(n3−ε) time, for any ε>0, would imply a similarly fast algorithm for the all-pairs shortest paths problem. Maximum subarray problems arise in many fields...

find the length λ of the shortest repeating cycle, by searching for the first position μ + λ for which xμ + λ = xμ. The algorithm thus maintains two pointers...

randomly distributed on a plane, the algorithm on average yields a path 25% longer than the shortest possible path; however, there exist many specially-arranged...

algorithm solves the assignment problem and it was one of the beginnings of combinatorial optimization algorithms. It uses a modified shortest path search...

changes during path following. Incremental heuristic search algorithms replan fast by using experience with the previous similar path-planning problems...

be viewed as a hill climbing algorithm (every adjacent element exchange decreases the number of disordered element pairs), yet this approach is far from...

arbitrary graphs the shortest path may require slower algorithms such as Dijkstra's algorithm or the Bellman–Ford algorithm, and longest paths in arbitrary graphs...

position, that is, the shortest string starting at i {\displaystyle i} and occurring only once in S {\displaystyle S} . His Algorithm D takes an uncompressed...

Delaunay triangulation is a geometric spanner: In the plane (d = 2), the shortest path between two vertices, along Delaunay edges, is known to be no longer...

the first intersection of the paths from v and w to the root. In general, the computational time required for this algorithm is O(h) where h is the height...

problem at hand. Such graphs arise in many contexts, for example in shortest path problems such as the traveling salesman problem. One definition of an...

designed for such networks—including the Spanning Tree Protocol, Open Shortest Path First, Link-state routing protocol, Augmented tree-based routing, etc...

one method of doing this. Best-first search algorithms, like the A* search algorithm, find the shortest path between two vertices or nodes of a weighted...