Dijkstra's Algorithm

This page is an introduction to Dijkstra's Algorithm.

Overview

Dijkstra's algorithm is a popular graph search technique used to determine the shortest path from a single source node to all other nodes in a weighted graph with non-negative edge weights. The algorithm works by repeatedly selecting the node with the smallest tentative distance, updating the distances of its neighbors, and marking it as "visited." This process continues until all nodes have been visited or the shortest path to the target node is found. Overall, Dijkstra's algorithm is efficient for solving many real-world problems such as routing, navigation, and network optimization.

Details

Algorithm Steps

1. Initialize the starting node with a distance of 0.
2. Add all nodes to the priority queue with their distances.
3. Extract the node with the smallest distance and update its neighbors.

Useful Features

• Efficient pathfinding in weighted graphs
• Handles non-negative weights
• Optimizes travel time by minimizing total distance

Important Tips

• Ensure all edge weights are non-negative.
• Pre-process data for best performance.
• Use proper data structures like priority queues.

More Information

For additional details, please visit Wikipedia - Dijkstra's Algorithm .