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Algorithm for finding shortest paths
Dijkstra's algorithm (/ˈdaɪk.strəz/, DYKE-strəz) is an algorithm for finding the shortest paths between nodes in a weighted graph, which may represent
Dijkstra's_algorithm
Algorithm for two disjoint paths in a graph
The algorithm was conceived by John W. Suurballe and published in 1974. The main idea of Suurballe's algorithm is to use Dijkstra's algorithm to find
Suurballe's_algorithm
Algorithm for finding the shortest paths in graphs
all of the other vertices in a weighted digraph. It is slower than Dijkstra's algorithm for the same problem, but more versatile, as it is capable of handling
Bellman–Ford_algorithm
Surname list
computer scientist Named after him: Dijkstra's algorithm, Dijkstra Prize, Dijkstra–Scholten algorithm Bram Dijkstra (born 1938), American professor of
Dijkstra
Algorithm used for pathfinding and graph traversal
SRI International) first published the algorithm in 1968. It can be seen as an extension of Dijkstra's algorithm. A* achieves better performance by using
A*_search_algorithm
Method to find shortest paths
Bellman–Ford algorithm to compute a transformation of the input graph that removes all negative weights, allowing Dijkstra's algorithm to be used on
Johnson's_algorithm
Method for finding minimum spanning trees
Edsger W. Dijkstra in 1959. Therefore, it is also sometimes called Jarník's algorithm, the Prim–Jarník algorithm, the Prim–Dijkstra algorithm or the DJP
Prim's_algorithm
Problem optimization method
Dynamic programming (DP) is both a mathematical optimization method and an algorithmic paradigm. The method was developed by Richard Bellman in the 1950s and
Dynamic_programming
The Dijkstra–Scholten algorithm (named after Edsger W. Dijkstra and Carel S. Scholten) is an algorithm for detecting termination in a distributed system
Dijkstra–Scholten_algorithm
Sequence of locally optimal choices
classic algorithms in computer science such as the Huffman coding algorithm, Prim's algorithm, Kruskal's algorithm, and Dijkstra's algorithm all use greedy
Greedy_algorithm
Plotting by a computer application
variant on solving mazes. This field of research is based heavily on Dijkstra's algorithm for finding the shortest path on a weighted graph. Pathfinding is
Pathfinding
Method for finding loopless paths
{\displaystyle A} , and the algorithm continues to the next iteration. The algorithm assumes that the Dijkstra algorithm is used to find the shortest
Yen's_algorithm
Abstract data type in computer science
not all algorithms can use this kind of priority queue. Dijkstra's algorithm for example can not work on several nodes at once. The algorithm takes the
Priority_queue
Computational problem of graph theory
Find the Shortest Path: Use a shortest path algorithm (e.g., Dijkstra's algorithm, Bellman-Ford algorithm) to find the shortest path from the source node
Shortest_path_problem
Any algorithm which solves the search problem
In computer science, a search algorithm is an algorithm designed to solve a search problem. Search algorithms work to retrieve information stored within
Search_algorithm
Overview of and topical guide to algorithms
to algorithms: An algorithm is a finite, well-defined sequence of instructions or rules for solving a problem or performing a computation. Algorithms are
Outline_of_algorithms
Bellman–Ford algorithm: computes shortest paths in a weighted graph (where some of the edge weights may be negative) Dijkstra's algorithm: computes shortest
List_of_algorithms
Computer science data structure
for the heapsort sorting algorithm. Heaps are also crucial in several efficient graph algorithms such as Dijkstra's algorithm. When a heap is a complete
Heap_(data_structure)
Algorithm to parse a syntax with infix notation to postfix notation
notation (RPN), or an abstract syntax tree (AST). The algorithm was invented by Edsger Dijkstra, first published in November 1961, and named because its
Shunting_yard_algorithm
Computational problem of graph theory
sequential algorithms which solve this problem, such as Dijkstra's algorithm. In this article, however, we present two parallel algorithms solving this
Parallel single-source shortest path algorithm
Parallel_single-source_shortest_path_algorithm
Classification of algorithm
A galactic algorithm is an algorithm with record-breaking theoretical (asymptotic) performance, but which is not used due to practical constraints. Typical
Galactic_algorithm
Directed graph with no directed cycles
graphs the shortest path may require slower algorithms such as Dijkstra's algorithm or the Bellman–Ford algorithm, and longest paths in arbitrary graphs are
Directed_acyclic_graph
Mutual exclusion algorithm
ordering. Eisenberg & McGuire algorithm Peterson's algorithm Lamport's bakery algorithm Szymański's algorithm Semaphores Dijkstra, Edsger W. Over de sequentialiteit
Dekker's_algorithm
Minimum spanning forest algorithm that greedily adds edges
Kruskal's algorithm finds a minimum spanning forest of an undirected edge-weighted graph. If the graph is connected, it finds a minimum spanning tree
Kruskal's_algorithm
Algorithm for solving boundary value problems of the Eikonal equation
the "known information", i.e. the boundary values. The algorithm is similar to Dijkstra's algorithm and uses the fact that information only flows outward
Fast_marching_method
Algorithm in graph theory
Floyd–Warshall algorithm (also known as Floyd's algorithm, the Roy–Warshall algorithm, the Roy–Floyd algorithm, or the WFI algorithm) is an algorithm for finding
Floyd–Warshall_algorithm
Computational problem of graph theory
Finding k shortest paths is possible by extending Dijkstra's algorithm or the Bellman-Ford algorithm.[citation needed] Since 1957, many papers have been
K_shortest_path_routing
Algorithm for use in routing of mesh networks
The MENTOR routing algorithm is an algorithm for use in routing of mesh networks, specifically pertaining to their initial topology. It was developed
MENTOR_routing_algorithm
Longest distance between two vertices
with positive edge weights, this can be done by repeatedly using Dijkstra's algorithm, once for each possible starting vertex. In a graph with n {\displaystyle
Diameter_(graph_theory)
Algorithm to search the nodes of a graph
In computer science, breadth-first search (BFS) is an algorithm for searching a tree data structure for a node that satisfies a given property. It starts
Breadth-first_search
Nonlinear dimensionality reduction method
weights along the shortest path between two nodes (computed using Dijkstra's algorithm, for example). The top n eigenvectors of the geodesic distance matrix
Isomap
Data structure for integer priorities
data structure. In many applications of priority queues such as Dijkstra's algorithm, the minimum priorities form a monotonic sequence, allowing a monotone
Bucket_queue
Algorithm used for program correctness
Banker's algorithm is a resource allocation and deadlock avoidance algorithm developed by Edsger Dijkstra that tests for safety by simulating the allocation
Banker's_algorithm
Optimization by removing non-optimal solutions to subproblems
their lower bounds. Examples of best-first search algorithms with this premise are Dijkstra's algorithm and its descendant A* search. The depth-first variant
Branch_and_bound
Minimum spanning forest algorithm that greedily deletes edges
The reverse-delete algorithm is an algorithm in graph theory used to obtain a minimum spanning tree from a given connected, edge-weighted graph. It first
Reverse-delete_algorithm
In applied mathematics, a technique to find the shortest path
possible paths. The shortest path in a graph can be computed using Dijkstra's algorithm but, given that road networks consist of tens of millions of vertices
Contraction_hierarchies
Dutch computer scientist (1930–2002)
creative research in basic software theory, algorithm theory, structured programming, and semaphores." Dijkstra was alive to receive notice of the award
Edsger_W._Dijkstra
Computational problem of graph theory
algorithm presented later can handle negative edge weights, whereas the Dijkstra algorithm requires all edges to have a positive weight. The Dijkstra
Parallel all-pairs shortest path algorithm
Parallel_all-pairs_shortest_path_algorithm
Process of selecting paths in a data communications network
itself to every other node using a standard shortest paths algorithm such as Dijkstra's algorithm. The result is a tree graph rooted at the current node,
Routing
Topics referred to by the same term
Structured Programming Facility, later ISPF Shortest Path First, or Dijkstra's algorithm Formal spectrum of a ring, a construction in algebraic geometry Superplastic
SPF
Any planar graph can be subdivided by removing a few vertices
this algorithm is dominated by the time to perform the O ( n ) {\displaystyle O({\sqrt {n}})} calls to Dijkstra's algorithm, so this algorithm finds
Planar_separator_theorem
Forward–backward algorithm Kalman filter Viterbi algorithm A* Bug algorithm D* Dijkstra's algorithm Dynamic window approach Graphplan Probabilistic roadmap Rapidly-exploring
List of artificial intelligence algorithms
List_of_artificial_intelligence_algorithms
Sequence of edges which join a sequence of vertices on a given graph
Shortest path problem Longest path problem Dijkstra's algorithm Bellman–Ford algorithm Floyd–Warshall algorithm Self-avoiding walk Shortest-path graph McCuaig
Path_(graph_theory)
Algorithm for linear programming
optimization, Dantzig's simplex algorithm (or simplex method) is an algorithm for linear programming. The name of the algorithm is derived from the concept
Simplex_algorithm
Data structure for priority queue operations
asymptotic running time of algorithms which utilize priority queues. For example, Dijkstra's algorithm and Prim's algorithm can be made to run in O ( |
Fibonacci_heap
Graph algorithm
this algorithm have been proposed by Purdom (1970), Munro (1971), Dijkstra (1976), Cheriyan & Mehlhorn (1996), and Gabow (2000); of these, Dijkstra's version
Path-based strong component algorithm
Path-based_strong_component_algorithm
Class of algorithms that find approximate solutions to optimization problems
computer science and operations research, approximation algorithms are efficient algorithms that find approximate solutions to optimization problems
Approximation_algorithm
American mathematician (1921–2021)
later rediscovered by Edsger Dijkstra in 1959. It is sometimes referred to as the DJP algorithm or the Jarník algorithm. Prim was also the co-developer
Robert_C._Prim
Polynomial-time algorithm for the assignment problem
The Hungarian algorithm or Hungarian method is a combinatorial optimization algorithm that solves the assignment problem in polynomial time and which
Hungarian_algorithm
Algorithm used to solve non-linear least squares problems
In mathematics and computing, the Levenberg–Marquardt algorithm (LMA or just LM), also known as the damped least-squares (DLS) method, is used to solve
Levenberg–Marquardt_algorithm
Variant of heap data structure
Chen et al. examined priority queues specifically for use with Dijkstra's algorithm and concluded that in normal cases using a d-ary heap without decrease-key
Pairing_heap
Problem of computing shortest paths around geometric obstacles
calculations. These algorithms are based on two different principles, either performing a shortest path algorithm such as Dijkstra's algorithm on a visibility
Euclidean_shortest_path
Path-finding using high-weight graph edges
In graph algorithms, the widest path problem is the problem of finding a path between two designated vertices in a weighted graph, maximizing the weight
Widest_path_problem
Concept of fault-tolerance
that were not foreseen in the design of the algorithm. Many years after the seminal paper of Edsger Dijkstra in 1974, this concept remains important as
Self-stabilization
Type of spanning tree
following algorithm: Compute dist(u), the shortest-path distance from root v to vertex u in G using Dijkstra's algorithm or Bellman–Ford algorithm. For all
Shortest-path_tree
by Edsger Dijkstra in 1965. The Banker's algorithm is a resource allocation and deadlock avoidance algorithm developed by Edsger Dijkstra that tests
List of Dutch inventions and innovations
List_of_Dutch_inventions_and_innovations
Comparison-based sorting algorithm
sorting algorithm. A variant of heapsort, it was invented and published by Edsger Dijkstra in 1981. Like heapsort, smoothsort is an in-place algorithm with
Smoothsort
Linear programming algorithm
Karmarkar's algorithm is an algorithm introduced by Narendra Karmarkar in 1984 for solving linear programming problems. It was the first reasonably efficient
Karmarkar's_algorithm
Priority queue data structure
operations. This tradeoff leads to better running times for algorithms such as Dijkstra's algorithm in which decrease priority operations are more common than
D-ary_heap
Computational problem
to be made on the same space (multi-query planning) A* Bug algorithm D* Dijkstra's algorithm Dynamic window approach Probabilistic roadmap Rapidly-exploring
Motion_planning
Maximum-cardinality search Shortest path Dijkstra's algorithm Bellman–Ford algorithm A* algorithm Floyd–Warshall algorithm Topological sorting Pre-topological
List_of_graph_theory_topics
Tree which includes all vertices of a graph
and it is itself). Several pathfinding algorithms, including Dijkstra's algorithm and the A* search algorithm, internally build a spanning tree as an
Spanning_tree
Computational problem about sorting
problem is of interest for designing sorting algorithms; in particular, variants of the quicksort algorithm that must be robust to repeated elements may
Dutch_national_flag_problem
Straight path on a curved surface or a Riemannian manifold
on a triangulated polyhedral surface. Their algorithm, often abbreviated MMP, uses a "continuous Dijkstra" approach, propagating a distance wavefront
Geodesic
Algorithm in computer graphics to add color or texture
Flood fill, also called seed fill, is a flooding algorithm that determines and alters the area connected to a given node in a multi-dimensional array
Flood_fill
Optimized search algorithm
correct termination conditions for the bidirectional version of Dijkstra’s Algorithm. As in A* search, bi-directional search can be guided by a heuristic
Bidirectional_search
Abstract data type in computer science
traversals using algorithms such as Kosaraju's algorithm, which is a modified DFS. Dijkstra's Algorithm is a Pathfinding Algorithm that can be used on
Graph_(abstract_data_type)
Set of edges without common vertices
+ V E ) {\displaystyle O(V^{2}\log {V}+VE)} running time with the Dijkstra algorithm and Fibonacci heap. In a non-bipartite weighted graph, the problem
Matching_(graph_theory)
Algorithm to compute the maximum flow in a flow network
In computer science, the Edmonds–Karp algorithm is an implementation of the Ford–Fulkerson method for computing the maximum flow in a flow network in
Edmonds–Karp_algorithm
Competitive event involving small robotic mice
various search algorithms. Common search algorithms use variations of the Bellman flood-fill method, Dijkstra's algorithm, A* search algorithm, among various
Micromouse
Separation between two points
Color difference Closeness (mathematics) Distance geometry problem Dijkstra's algorithm Distance matrix Distance set Engineering tolerance Multiplicative
Distance
Capability in robotics
Such algorithms are commonly used in routing mazes and autonomous vehicles. Popular path-planning algorithms include A* (A-star), Dijkstra's algorithm, and
Obstacle_avoidance
Graph exploring search algorithm
visited add n to queue return failure Beam search A* search algorithm Dijkstra's algorithm Pearl, J. Heuristics: Intelligent Search Strategies for Computer
Best-first_search
Prim's algorithm developed by Robert Prim 1957 – Bellman–Ford algorithm developed by Richard E. Bellman and L. R. Ford, Jr. 1959 – Dijkstra's algorithm developed
Timeline_of_algorithms
Mathematical model used by graph-oriented databases
e.g. with maximum flow algorithms. Shortest path problems, as solved by very classical algorithms (like Dijkstra's algorithm), operate on weighted graphs
Property_graph
Type of heuristic in path-finding problems
was reached is the lowest possible, under the same conditions that Dijkstra's algorithm requires in solving the shortest path problem (no negative cost edges)
Consistent_heuristic
Length of shortest path between two nodes of a graph
application of weighted graph distance, typically computed using Dijkstra's algorithm. Network routing protocols In computer networking, protocols such
Distance_(graph_theory)
Free and open-source roguelike video game
known as the "Travel patch", which borrowed the implementation of Dijkstra's algorithm from NetHack to provide an auto-exploration ability in game. These
Dungeon_Crawl_Stone_Soup
Formal grammar
mapping from trees to weights, Donald Knuth's generalization of Dijkstra's shortest-path algorithm can be applied to a regular tree grammar to compute for each
Regular_tree_grammar
Computer network routing protocol
link-state information from other routers. Like OSPF, IS-IS uses Dijkstra's algorithm for computing the best path through the network. Packets (datagrams)
IS-IS
Optimization algorithm
computer science and operations research, the ant colony optimization algorithm (ACO) is a probabilistic technique for solving computational problems
Ant colony optimization algorithms
Ant_colony_optimization_algorithms
Route planning library and network service
record set in 2021. OSRM implements multilevel Dijkstra's algorithm (MLD) as well as another routing algorithm, contraction hierarchies (CH), which is better
Open_Source_Routing_Machine
Type of link aggregation group optimised for redundancy
topology, and enables per-flow pair-wise load splitting by way of Dijkstra's algorithm without configuration or user intervention. IEEE. IEEE 802.1AX-2008
Multi-chassis link aggregation group
Multi-chassis_link_aggregation_group
Line tangent to a curve at two locations
of its bitangents, so the shortest path can be found by applying Dijkstra's algorithm to a subgraph of the visibility graph formed by the visibility edges
Bitangent
American mathematician (1920–1984)
weighted digraph where some of the edge weights may be negative. Dijkstra's algorithm accomplishes the same problem with a lower running time, but requires
Richard_Bellman
Digital workload distribution techniques
topology, and enables per flow pair-wise load splitting by way of Dijkstra's algorithm, without configuration and user intervention. The catalyst for TRILL
Load_balancing_(computing)
Geospatial methods for analyzing distance
shortest route from point A to point B, which is typically solved using Dijkstra's algorithm Blinn, Charles R., Lloyd P. Queen, and Les W. Maki, "Geographic Information
Proximity_analysis
Optimization algorithm
The Frank–Wolfe algorithm is an iterative first-order optimization algorithm for constrained convex optimization. Also known as the conditional gradient
Frank–Wolfe_algorithm
Device that creates a larger computer network from two smaller networks
Bridging (SPB), specified in the IEEE 802.1aq standard and based on Dijkstra's algorithm, is a computer networking technology intended to simplify the creation
Network_bridge
Search algorithm
A rapidly exploring random tree (RRT) is an algorithm designed to efficiently search nonconvex, high-dimensional spaces by randomly building a space-filling
Rapidly_exploring_random_tree
machine-integer keys in time O(m + n log n / log log n). This allows Dijkstra's algorithm to be performed in the same O(m + n log n / log log n) time bound
AF-heap
Algorithm to find Euclidean shortest paths
Any-angle path planning algorithms are pathfinding algorithms that search for a Euclidean shortest path between two points on a grid map while allowing
Any-angle_path_planning
Szymański's Mutual Exclusion Algorithm is a mutual exclusion algorithm devised by computer scientist Dr. Bolesław Szymański, which has many favorable
Szymański's_algorithm
On short connecting nets with added points
"growing" them simultaneously using a breadth-first search resembling Dijkstra's algorithm but starting from multiple initial vertices. When the search encounters
Steiner_tree_problem
Algorithm for finding zeros of functions
method, named after Isaac Newton and Joseph Raphson, is a root-finding algorithm which produces successively better approximations to the roots (or zeroes)
Newton's_method
Optimization algorithm
technique which belongs to the family of local search. It is an iterative algorithm that starts with an arbitrary solution to a problem, then attempts to
Hill_climbing
Graph of intervisible locations in computational geometry
constructing the visibility graph, and applying a shortest path algorithm such as Dijkstra's algorithm to the graph. For planning the motion of a robot that has
Visibility_graph
Algorithm for computing the maximal flow of a network
Dinic's algorithm or Dinitz's algorithm is a strongly polynomial algorithm for computing the maximum flow in a flow network, conceived in 1970 by Israeli
Dinic's_algorithm
Abstract data type in computer science
causality makes attempts to schedule actions in the past meaningless. In Dijkstra's algorithm for the shortest path problem, vertices of a given weighted graph
Monotone_priority_queue
Class of routing protocols
itself to every other node in the network; generally, some variant of Dijkstra's algorithm is used. A node maintains two data structures: a Tree data structure
Link-state_routing_protocol
DIJKSTRAS ALGORITHM
DIJKSTRAS ALGORITHM
DIJKSTRAS ALGORITHM
DIJKSTRAS ALGORITHM
DIJKSTRAS ALGORITHM
DIJKSTRAS ALGORITHM
DIJKSTRAS ALGORITHM
DIJKSTRAS ALGORITHM
DIJKSTRAS ALGORITHM