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...

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

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...

length of the shortest augmenting path increases monotonically. There is an accessible proof in Introduction to Algorithms. algorithm EdmondsKarp is...

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

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

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...

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

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

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...

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...

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

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...

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...

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...

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...

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

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...

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...

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

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

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...

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...

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...

warehouse might use an MST originating at the warehouse to calculate the shortest paths to each company store. In this case the stores and the warehouse are...

since the 1970s. Essentially, these methods attempt to find the shortest pivot path on the arrangement polytope under the linear programming problem...

– see k-nearest neighbor algorithm Computer vision – for point cloud registration Computational geometry – see Closest pair of points problem Cryptanalysis...

the shortest paths between all pairs of vertices on a graph, which requires O ( V 3 ) {\displaystyle O(V^{3})} time with the Floyd–Warshall algorithm. However...