What is Dijkstra's algorithm and its complexity analysis?

Can you explain Dijkstra's algorithm?

Dijkstra's algorithm is a graph search algorithm that finds the shortest path from a starting node to all other nodes in a weighted graph.

What is the time complexity of Dijkstra's algorithm?

The time complexity of Dijkstra's algorithm depends on the data structure used. With a priority queue, it is O((V + E) log V), where V is the number of vertices and E is the number of edges.

Are there any limitations to Dijkstra's algorithm?

Yes, Dijkstra's algorithm does not work with graphs that have negative weight edges. For such cases, the Bellman-Ford algorithm is preferred.

Can you give an example of how Dijkstra's algorithm works?

Sure! Imagine a graph with nodes representing cities and edges representing distances. Dijkstra's algorithm starts at a source city, calculates the shortest distance to each city, and updates paths until it finds the shortest route to the destination.