What are some common graph algorithms in C++?

What are some common graph algorithms in C++?

Some common graph algorithms in C++ include Dijkstra's algorithm, Depth-First Search (DFS), and Breadth-First Search (BFS). Would you like to know more about any specific algorithm?

Can you explain Dijkstra's algorithm?

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

How do I implement Dijkstra's algorithm in C++?

To implement Dijkstra's algorithm in C++, you can use a priority queue (like std::priority_queue) to manage the nodes. You'll maintain a distance array to track the shortest path to each node and update it as you explore the graph.

What are the time complexities of these algorithms?

Dijkstra's algorithm has a time complexity of O((V + E) log V) with a priority queue, where V is the number of vertices and E is the number of edges. DFS and BFS both have a time complexity of O(V + E).