Dijkstra’s algorithm finds the shortest path from a source node to all other nodes in a weighted graph. You can implement it using a priority queue to efficiently track the shortest path.

Dijkstra’s algorithm is a famous algorithm used to find the shortest paths from a source node to all other nodes in a graph with non-negative edge weights. It’s widely used in network routing, GPS navigation systems, and other applications that require finding the shortest path between points. To implement Dijkstra’s algorithm in TypeScript, you can represent the graph as an adjacency list, where each node points to a list of its neighbors and the corresponding edge weights. A priority queue is used to efficiently track the node with the smallest known distance, ensuring that you always process the nearest node first. The algorithm works by initializing the distance to the source node as zero and all other nodes as infinity. At each step, the algorithm selects the node with the smallest distance, updates the distances to its neighbors, and repeats this process until all nodes have been processed. The key to Dijkstra’s algorithm is the priority queue, which allows for fast access to the next node with the smallest distance. Understanding Dijkstra’s algorithm is essential for solving graph-related problems in network optimization, shortest path algorithms, and game development.