How does Dijkstra's algorithm work for finding the shortest path?

How does Dijkstra's algorithm work for finding the shortest path?

Dijkstra's algorithm finds the shortest path from a starting node to all other nodes in a graph. It uses a priority queue to explore the nearest unvisited node and updates the shortest path to its neighbors.

Can you visualize how Dijkstra's algorithm processes a graph?

Sure! Imagine a graph with nodes connected by edges. Dijkstra's algorithm starts at the source node, marking it with a distance of 0. It then explores neighboring nodes, updating their distances based on the shortest path found so far.

What happens if there are negative weights in the graph?

Dijkstra's algorithm doesn't work correctly with negative weights. For graphs with negative weights, the Bellman-Ford algorithm is a better choice.

Can you show me an example of Dijkstra's algorithm in action?

Absolutely! Let's take a simple graph with nodes A, B, C, and D. Starting from A, I'll show you how the algorithm updates the shortest paths to each node step by step.