How do Dijkstra's Algorithm Work?
Dijkstra's algorithm is a popular graph traversal algorithm used to find the shortest path between nodes in a weighted graph. It was developed by computer scientist Edsger Dijkstra in 1956. Here is a step-by-step explanation of how Dijkstra's algorithm works: 1. Initialization: Start by selecting a source node and set its distance to 0. Assign infinite distance to all other nodes. Mark all nodes as unvisited. 2. Selection of the minimum distance node: Choose the node with the minimum distance from the set of unvisited nodes. Initially, this will be the source node. 3. Visit neighbors: For the selected node, examine all its neighboring nodes (adjacent nodes) that have not been visited. Calculate the distance from the source node to each neighboring node through the current node. Update the distance of each neighboring node if the newly calculated distance is smaller than the current assigned distance. 4. Mark node as visited: Once all the neighboring nodes have been exa...