Applications of Dijkstra's shortest path algorithm Last Updated : 23 Sep, 2022 Comments Improve Suggest changes Like Article Like Report Dijkstra’s algorithm is one of the most popular algorithms for solving many single-source shortest path problems having non-negative edge weight in the graphs i.e., it is to find the shortest distance between two vertices on a graph. It was conceived by computer scientist Edsger W. Dijkstra in 1956 and published three years later. Dijkstra’s Algorithm has several real-world use cases, some of which are as follows: Digital Mapping Services in Google Maps: Many times we have tried to find the distance in G-Maps, from one city to another, or from your location to the nearest desired location. There encounters the Shortest Path Algorithm, as there are various routes/paths connecting them but it has to show the minimum distance, so Dijkstra's Algorithm is used to find the minimum distance between two locations along the path. Consider India as a graph and represent a city/place with a vertex and the route between two cities/places as an edge, then by using this algorithm, the shortest routes between any two cities/places or from one city/place to another city/place can be calculated.Social Networking Applications: In many applications you might have seen the app suggests the list of friends that a particular user may know. How do you think many social media companies implement this feature efficiently, especially when the system has over a billion users. The standard Dijkstra algorithm can be applied using the shortest path between users measured through handshakes or connections among them. When the social networking graph is very small, it uses standard Dijkstra’s algorithm along with some other features to find the shortest paths, and however, when the graph is becoming bigger and bigger, the standard algorithm takes a few several seconds to count and alternate advanced algorithms are used.Telephone Network: As we know, in a telephone network, each line has a bandwidth, 'b'. The bandwidth of the transmission line is the highest frequency that line can support. Generally, if the frequency of the signal is higher in a certain line, the signal is reduced by that line. Bandwidth represents the amount of information that can be transmitted by the line. If we imagine a city to be a graph, the vertices represent the switching stations, and the edges represent the transmission lines and the weight of the edges represents 'b'. So as you can see it can fall into the category of shortest distance problem, for which the Dijkstra is can be used.IP routing to find Open shortest Path First: Open Shortest Path First (OSPF) is a link-state routing protocol that is used to find the best path between the source and the destination router using its own Shortest Path First. Dijkstra's algorithm is widely used in the routing protocols required by the routers to update their forwarding table. The algorithm provides the shortest cost path from the source router to other routers in the network.Flighting Agenda: For example, If a person needs software for making an agenda of flights for customers. The agent has access to a database with all airports and flights. Besides the flight number, origin airport, and destination, the flights have departure and arrival time. Specifically, the agent wants to determine the earliest arrival time for the destination given an origin airport and start time. There this algorithm comes into use.Designate file server: To designate a file server in a LAN(local area network), Dijkstra's algorithm can be used. Consider that an infinite amount of time is required for transmitting files from one computer to another computer. Therefore to minimize the number of "hops" from the file server to every other computer on the network the idea is to use Dijkstra's algorithm to minimize the shortest path between the networks resulting in the minimum number of hops.Robotic Path: Nowadays, drones and robots have come into existence, some of which are manual, some automated. The drones/robots which are automated and are used to deliver the packages to a specific location or used for a task are loaded with this algorithm module so that when the source and destination is known, the robot/drone moves in the ordered direction by following the shortest path to keep delivering the package in a minimum amount of time. Comment More infoAdvertise with us Next Article C / C++ Program for Dijkstra's shortest path algorithm | Greedy Algo-7 D dipesh99kumar Follow Improve Article Tags : Graph Algorithms DSA Dijkstra Algorithms-Graph Shortest Paths Quiz +1 More Practice Tags : AlgorithmsGraph Similar Reads What is Dijkstra’s Algorithm? | Introduction to Dijkstra's Shortest Path Algorithm In this article, we will be discussing one of the most commonly known shortest-path algorithms i.e. Dijkstra's Shortest Path Algorithm which was developed by Dutch computer scientist Edsger W. Dijkstra in 1956. Moreover, we will do a complexity analysis for this algorithm and also see how it differs 10 min read Dijkstra's Algorithm to find Shortest Paths from a Source to all Given a weighted undirected graph represented as an edge list and a source vertex src, find the shortest path distances from the source vertex to all other vertices in the graph. The graph contains V vertices, numbered from 0 to V - 1.Note: The given graph does not contain any negative edge. Example 12 min read Dijkstra’s Algorithm for Adjacency List Representation | Greedy Algo-8 The Dijkstra's Algorithm, we can either use the matrix representation or the adjacency list representation to represent the graph, while the time complexity of Dijkstra's Algorithm using matrix representation is O(V^2). The time complexity of Dijkstra's Algorithm using adjacency list representation 15+ min read Printing Paths in Dijkstra's Shortest Path Algorithm Given a graph and a source vertex in the graph, find the shortest paths from the source to all vertices in the given graph.We have discussed Dijkstra's Shortest Path algorithm in the below posts. Dijkstra’s shortest path for adjacency matrix representationDijkstra’s shortest path for adjacency list 15 min read Why does Dijkstra's Algorithm fail on negative weights? Dijkstra's Algorithm: It is a graph searching algorithm that uses a Greedy Approach to find the shortest path from the source node to all other remaining nodes. It solves the single-source shortest path problem for a weighted graph. This algorithm keeps track of the weights of the edges for finding 4 min read Applications of Dijkstra's shortest path algorithm Dijkstra’s algorithm is one of the most popular algorithms for solving many single-source shortest path problems having non-negative edge weight in the graphs i.e., it is to find the shortest distance between two vertices on a graph. It was conceived by computer scientist Edsger W. Dijkstra in 1956 4 min read Dijkstra's Algorithm in different languageC / C++ Program for Dijkstra's shortest path algorithm | Greedy Algo-7Problem Statement: Given a graph and a source vertex in the graph, find the shortest paths from the source to all vertices in the given graph. What is Dijkstra's Algorithm? Dijkstra's algorithm is very similar to Prim's algorithm for minimum spanning tree. Like Prim's MST, we generate an SPT (shorte 5 min read Java Program for Dijkstra's shortest path algorithm | Greedy Algo-7Given a graph and a source vertex in the graph, find shortest paths from source to all vertices in the given graph. Dijkstra's algorithm is very similar to Prim's algorithm for minimum spanning tree. Like Prim's MST, we generate a SPT (shortest path tree) with given source as root. We maintain two s 5 min read Dijkstra's shortest path algorithm in PythonGiven a graph and a source vertex in the graph, find the shortest paths from source to all vertices in the given graph. Dijkstra’s algorithm is a popular algorithm for solving many single-source shortest path problems having non-negative edge weight in the graphs i.e., it is to find the shortest dis 4 min read C# Program for Dijkstra's shortest path algorithm | Greedy Algo-7Given a graph and a source vertex in the graph, find shortest paths from source to all vertices in the given graph. Dijkstra's algorithm is very similar to Prim's algorithm for minimum spanning tree. Like Prim's MST, we generate a SPT (shortest path tree) with given source as root. We maintain two s 5 min read Different ways to implement Dijkstra's algorithmDijkstra’s shortest path algorithm using setGiven a weighted undirected graph represented as an edge list and a source vertex src, find the shortest path distances from the source vertex to all other vertices in the graph. The graph contains V vertices, numbered from 0 to V - 1.Example:Input: src = 0, V = 5, edges[][] = [[0, 1, 4], [0, 2, 8], 8 min read Dijkstra's Shortest Path Algorithm using priority_queue of STLGiven a graph and a source vertex in graph, find shortest paths from source to all vertices in the given graph.Input : Source = 0Output : Vertex Distance from Source 0 0 1 4 2 12 3 19 4 21 5 11 6 9 7 8 8 14We have discussed Dijkstra’s shortest Path implementations.Dijkstra’s Algorithm for Adjacency 15+ min read Dijkstra's shortest path algorithm in Java using PriorityQueueDijkstra’s algorithm is very similar to Prim’s algorithm for minimum spanning tree. Like Prim’s MST, we generate a SPT (shortest path tree) with a given source as a root. We maintain two sets, one set contains vertices included in the shortest-path tree, other set includes vertices not yet included 5 min read Variations of Dijkstra's algorithmMinimum Cost using Dijkstra by Modifying Cost of an EdgeGiven an undirected weighted graph of N nodes and M edges in the form of a tuple lets say {X, Y, Z} such that there is an edge with cost Z between X and Y. We are supposed to compute the minimum cost of traversal from node 1 to N. However, we can perform one operation before the traversal such that 15 min read Minimum cost path from source node to destination node via an intermediate nodeGiven an undirected weighted graph. The task is to find the minimum cost of the path from source node to the destination node via an intermediate node. Note: If an edge is traveled twice, only once weight is calculated as cost. Examples: Input: source = 0, destination = 2, intermediate = 3; Output: 12 min read Find Maximum Shortest Distance in Each Component of a GraphGiven an adjacency matrix graph[][] of a weighted graph consisting of N nodes and positive weights, the task for each connected component of the graph is to find the maximum among all possible shortest distances between every pair of nodes. Examples: Input: Output: 8 0 11 Explanation: There are thre 15+ min read Comparison of Dijkstra’s and Floyd–Warshall algorithmsDijkstra AlgorithmDijkstra’s Algorithm is a Single-Source Shortest Path SSSP algorithm, i.e., given a source vertex it finds the shortest path from the source to all other vertices. The idea is to generate a SPT (shortest path tree) with a given source as a root and with two sets, one set contains v 4 min read Minimum Weight Cycle in a Graph Given an undirected, weighted graph with V vertices numbered from 0 to V-1, and E edges represented as a 2D array edges[][], where each element edges[i] = [u, v, w] denotes an edge between nodes u and v with weight w, and all edge weights are positive integers, your task is to find the minimum weigh 15+ min read Like