What are weighted graph algorithms and how do they work?

What are weighted graph algorithms and how do they work?

Weighted graph algorithms are techniques used to process graphs where edges have weights, representing costs or distances. They help in finding the shortest path, minimum spanning tree, and more.

Can you give me an example of a weighted graph algorithm?

Sure! Dijkstra's algorithm is a popular weighted graph algorithm used to find the shortest path from a starting node to all other nodes in a graph.

How does Dijkstra's algorithm work?

Dijkstra's algorithm works by maintaining a priority queue of nodes, starting from the source node, and iteratively exploring the nearest unvisited node, updating the shortest path to each neighboring node.

What are some real-world applications of weighted graph algorithms?

They are used in various applications like GPS navigation for route finding, network routing protocols, and even in social network analysis to find influential nodes.