Combinatorial optimization | Graph distance | Search algorithms | Routing algorithms | Graph algorithms
Dijkstra's algorithm (/ˈdaɪkstrəz/ DYKE-strəz) is an algorithm for finding the shortest paths between nodes in a graph, which may represent, for example, road networks. It was conceived by computer scientist Edsger W. Dijkstra in 1956 and published three years later. The algorithm exists in many variants. Dijkstra's original algorithm found the shortest path between two given nodes, but a more common variant fixes a single node as the "source" node and finds shortest paths from the source to all other nodes in the graph, producing a shortest-path tree. For a given source node in the graph, the algorithm finds the shortest path between that node and every other. It can also be used for finding the shortest paths from a single node to a single destination node by stopping the algorithm once the shortest path to the destination node has been determined. For example, if the nodes of the graph represent cities and edge path costs represent driving distances between pairs of cities connected by a direct road (for simplicity, ignore red lights, stop signs, toll roads and other obstructions), Dijkstra's algorithm can be used to find the shortest route between one city and all other cities. A widely used application of shortest path algorithms is network routing protocols, most notably IS-IS (Intermediate System to Intermediate System) and OSPF (Open Shortest Path First). It is also employed as a subroutine in other algorithms such as Johnson's. The Dijkstra algorithm uses labels that are positive integers or real numbers, which are totally ordered. It can be generalized to use any labels that are partially ordered, provided the subsequent labels (a subsequent label is produced when traversing an edge) are monotonically non-decreasing. This generalization is called the generic Dijkstra shortest-path algorithm. Dijkstra's algorithm uses a data structure for storing and querying partial solutions sorted by distance from the start. While the original algorithm uses a min-priority queue and runs in time (where is the number of nodes and is the number of edges), it can also be implemented in using an array. The idea of this algorithm is also given in . propose using a Fibonacci heap min-priority queue to optimize the running time complexity to . This is asymptotically the fastest known single-source shortest-path algorithm for arbitrary directed graphs with unbounded non-negative weights. However, specialized cases (such as bounded/integer weights, directed acyclic graphs etc.) can indeed be improved further as detailed in Specialized variants. Additionally, if preprocessing is allowed algorithms such as contraction hierarchies can be up to seven orders of magnitude faster. In some fields, artificial intelligence in particular, Dijkstra's algorithm or a variant of it is known as uniform cost search and formulated as an instance of the more general idea of best-first search. (Wikipedia).
Dijkstra Algorithm Explained | Network Routing Using Dijkstra’s Algorithm | Simplilearn
In this video on 'What Is Dijkstra's Algorithm?', we will look into the working and the functioning of Dijkstra's algorithm, which works on the principle of the greedy algorithm. This algorithm was designed to deduce the shortest path from the primary node to the target node and design the
From playlist Networking
Graph Data Structure 4. Dijkstra’s Shortest Path Algorithm
This is the fourth in a series of computer science videos about the graph data structure. This is an explanation of Dijkstra’s algorithm for finding the shortest path between one vertex in a graph and another. Indeed, this explains how Dijkstra’s shortest path algorithm generates a set o
From playlist Path Finding Algorithms
Code for Dijkstra - Intro to Algorithms
This video is part of an online course, Intro to Algorithms. Check out the course here: https://www.udacity.com/course/cs215.
From playlist Introduction to Algorithms
Graph Theory: Dijkstra's Algorithm
This lesson explains how to apply Dijkstra's algorithm to find the shortest path from one vertex to another using a graph. Site: http://mathispower4u.com
From playlist Graph Theory
What is Missing? - Intro to Algorithms
This video is part of an online course, Intro to Algorithms. Check out the course here: https://www.udacity.com/course/cs215.
From playlist Introduction to Algorithms
OCR MEI MwA F: Dijkstra’s Algorithm: 01 Introduction
https://www.buymeacoffee.com/TLMaths Navigate all of my videos at https://sites.google.com/site/tlmaths314/ Like my Facebook Page: https://www.facebook.com/TLMaths-1943955188961592/ to keep updated Follow me on Instagram here: https://www.instagram.com/tlmaths/ Many, MANY thanks to Dea
From playlist OCR MEI MwA F: Dijkstra’s Algorithm
Graph Data Structure 5. Dijkstra’s Shortest Path Implementation in VB.NET
This is the fifth in a series of videos about the graph data structure. It explains how Dijkstra’s shortest path algorithm can be implemented for a weighted graph in VB.NET. This particular implementation involves coding up a Dijkstra class, whose constructor is passed a graph’s adjacenc
From playlist Path Finding Algorithms
Dijkstra vs Bi-directional Dijkstra Algorithm on US Road Network
Here, we compare the progression of classical and bi-directional Dijkstra Algorithms as applied to US road network. The road network is intentionally sampled and reduced to a minimum spanning tree for easier visualization. The real connections between nodes can be different than what is sh
From playlist Electromagnetic Animations
Dijkstra's Shortest Path Algorithm | Graph Theory
Explanation of Dijkstra's shortest path algorithm Dijkstra source code on Algorithms repository: https://github.com/williamfiset/algorithms#graph-theory Video slides: https://github.com/williamfiset/Algorithms/tree/master/slides Indexed Priority Queue Video: https://youtu.be/jND_WJ8r7FE
From playlist Graph Theory Playlist
The hidden beauty of the A* algorithm
00:00 Intro 01:38 Change the lengths! 06:34 What is a good potential? 12:31 Implementation 16:20 Bonus Video of Tom Sláma: https://youtu.be/umszOeerdsU Some related stuff: -- One thing I did not mention is that Dijkstra's algorithm is designed to solve the problem of finding the shortes
From playlist Fourier
3b1b SoME 1 Submission: Pencil and Papers Dijkstra's
This is my submission for Grant's "3b1b's Summer of Math Exposition" contest, in which I present the way of teaching Dijkstra's my community college professor uses. The PDF shown in the video can be found here: https://drive.google.com/file/d/1RSM5AOtz0FDdgbf8Kp_KIZCfqsHfbTmj/view?usp=s
From playlist Summer of Math Exposition Youtube Videos
MIT 6.006 Introduction to Algorithms, Fall 2011 View the complete course: http://ocw.mit.edu/6-006F11 Instructor: Srini Devadas License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
From playlist MIT 6.006 Introduction to Algorithms, Fall 2011
11 2 Dijkstra 's Algorithm Examples 13 min
From playlist Algorithms 1
Dijkstra's Shortest Path Algorithm | Source Code | Graph Theory
Dijkstra's Shortest Path Algorithm source code implementation in Java Previous Video on Dijkstra's: https://youtu.be/pSqmAO-m7Lk Indexed Priority Queue Video: https://youtu.be/DT8xZ0Uf8wo Algorithms repository: https://github.com/williamfiset/algorithms Video slides: https://github.com
From playlist Graph Theory Playlist
Dijkstra's Algorithm (Tutorial 10) D1 EDEXCEL A-Level
Powered by https://www.numerise.com/ This video is a tutorial on Dijkstra's Algorithm for Decision 1 Math A-Level. Please make yourself revision notes while watching this and attempt my examples. Complete the suggested exercises from the Edexcel book. After this then move to my video on
From playlist Decision 1: Edexcel A-Level Maths Full Course
Dijkstra's Algorithm (Decision Maths 1)
Powered by https://www.numerise.com/ Using Dijkstra's Algorithm to find the shortest path between 2 points in a network www.hegartymaths.com http://www.hegartymaths.com/
From playlist Decision Maths 1 OCR Exam Board (A-Level tutorials)
11 1 Dijkstra 's Shortest Path Algorithm 21 min
From playlist Algorithms 1