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In just 20 minutes, Dr. Dijkstra designed one of the most famous algorithms in the history of Computer Science. Basics of Dijkstra's Algorithm Dijkstra's Algorithm basically starts at the node that you choose (the source node) and it analyzes the graph to find the shortest path between that node and all the other nodes in the graph. Learn how Dijkstra's algorithm finds the shortest path from one vertex to all other vertices in a graph. See examples, animations, code and a detailed run through of the algorithm. Learn how to use Dijkstra's Algorithm to find the shortest path between two vertices in a weighted graph. See the example, pseudocode, complexity and applications of this greedy algorithm. Here is an algorithm described by the Dutch computer scientist Edsger W. Dijkstra in 1959. Let's create an array d [] where for each vertex v we store the current length of the shortest path from s to v in d [v] . Initially d [s] = 0 , and for all other vertices this length equals infinity.