# Does breadth first search give shortest path?

## Does breadth first search give shortest path?

Breadth-first search will always find the shortest path in an unweighted graph.

How do I use BFS in CPP?

BFS algorithm

1. Start by putting any one of the graph’s vertices at the back of a queue.
2. Take the front item of the queue and add it to the visited list.
3. Create a list of that vertex’s adjacent nodes.
4. Keep repeating steps 2 and 3 until the queue is empty.

How do I find my BFS path?

Create a graph using the given nodes and a queue for storing the nodes to iterate through breadth-first search. Push v1 to the queue and start Breadth-first search till the queue is not empty. Iterate through all the connected nodes from the current node. Update the parent of new nodes.

### Why is BFS better for shortest path?

We say that BFS is the algorithm to use if we want to find the shortest path in an undirected, unweighted graph. The claim for BFS is that the first time a node is discovered during the traversal, that distance from the source would give us the shortest path.

Is BFS faster than DFS?

BFS is slower than DFS. DFS is faster than BFS. Time Complexity of BFS = O(V+E) where V is vertices and E is edges. Time Complexity of DFS is also O(V+E) where V is vertices and E is edges.

Can BFS be iterative?

Iterative Implementation of BFS It uses a queue instead of a stack. It checks whether a vertex has been discovered before pushing the vertex rather than delaying this check until the vertex is dequeued.

## Can we use DFS for shortest path?

A) Dfs also can solve shortest path (also, smallest weighted path). The only cons would be the exponential time complexity arising from multiple edges revisiting already visited nodes.

Is Dijkstra better than BFS?

If you consider travel websites, these use Dijkstra’s algorithm because of weights (distances) on nodes. If you will consider the same distance between all nodes, then BFS is the better choice. For example, consider A -> (B, C) -> (F) with edge weights given by A->B = 10, A->C = 20, B->F = C->F = 5.

Why BFS is preferred over DFS?

BFS uses Queue to find the shortest path. DFS uses Stack to find the shortest path. BFS is better when target is closer to Source. DFS is better when target is far from source.

### What is the time complexity of BFS?

The Time complexity of BFS is O(V + E) when Adjacency List is used and O(V^2) when Adjacency Matrix is used, where V stands for vertices and E stands for edges.

Can I do BFS recursively?

It’s possible to run BFS recursively without any data structures, but with higher complexity. DFS, as opposed to BFS, uses a stack instead of a queue, and so it can be implemented recursively.

Can you do BFS without queue?

Breadth-first search is a graph traversal algorithm which traverse a graph or tree level by level. In this article, BFS for a Graph is implemented using Adjacency list without using a Queue.