 # Question: Where Is BFS And DFS Used?

## Why BFS is slower than DFS?

Comparing BFS and DFS, the big advantage of DFS is that it has much lower memory requirements than BFS, because it’s not necessary to store all of the child pointers at each level.

Then, a BFS would usually be faster than a DFS.

So, the advantages of either vary depending on the data and what you’re looking for..

## Why is BFS V E?

E is not the number of edges adjacent to each vertex – its actually the total number of edges in the graph. Defining it this way is useful because you don’t necessarily have the same number of edges on every single vertex. … Then you add the O(V) for visiting each vertex once and get O(V + E) on total.

## How does BFS detect cycle in a graph?

Steps involved in detecting cycle in a directed graph using BFS. Step-1: Compute in-degree (number of incoming edges) for each of the vertex present in the graph and initialize the count of visited nodes as 0. Step-3: Remove a vertex from the queue (Dequeue operation) and then. Increment count of visited nodes by 1.

## Which is better BFS or 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 faster than BFS.

## Is Dijkstra BFS or DFS?

You can implement Dijkstra’s algorithm as BFS with a priority queue (though it’s not the only implementation). Dijkstra’s algorithm relies on the property that the shortest path from s to t is also the shortest path to any of the vertices along the path. This is exactly what BFS does. … Exactly like BFS.

## What is BFS and DFS with example?

BFS vs DFS BFS stands for Breadth First Search. DFS stands for Depth First Search. … DFS(Depth First Search) uses Stack data structure. 3. BFS can be used to find single source shortest path in an unweighted graph, because in BFS, we reach a vertex with minimum number of edges from a source vertex.

## Is Faster than BFS?

While A* uses a priority queue, BFS utilizes a queue. … The benefit of A* is that it normally expands far fewer nodes than BFS, but if that isn’t the case, BFS will be faster. That can occur if the heuristic used is poor, or if the graph is very sparse or small, or if the heuristic fails for a given graph.

## Why stack is used in DFS?

Depth First Search (DFS) algorithm traverses a graph in a depthward motion and uses a stack to remember to get the next vertex to start a search, when a dead end occurs in any iteration. As in the example given above, DFS algorithm traverses from S to A to D to G to E to B first, then to F and lastly to C.

## Where is BFS used?

Breadth-first search (BFS) is an important graph search algorithm that is used to solve many problems including finding the shortest path in a graph and solving puzzle games (such as Rubik’s Cubes).

## Can BFS be used to find cycles?

BFS wont work for a directed graph in finding cycles. Consider A->B and A->C->B as paths from A to B in a graph. BFS will say that after going along one of the path that B is visited. When continuing to travel the next path it will say that marked node B has been again found,hence, a cycle is there.

## Can undirected graphs have cycles?

In the case of undirected graphs, only O(n) time is required to find a cycle in an n-vertex graph, since at most n − 1 edges can be tree edges. Many topological sorting algorithms will detect cycles too, since those are obstacles for topological order to exist.

## Can DFS detect cycle?

Using a Depth First Search (DFS) traversal algorithm we can detect cycles in a directed graph. If there is any self-loop in any node, it will be considered as a cycle, otherwise, when the child node has another edge to connect its parent, it will also a cycle.

## Does DFS find shortest path?

4 Answers. DFS does not necessarily yield shortest paths in an undirected graph. BFS would be the correct choice here.

## What is DFS used for?

Depth-first search (DFS) is an algorithm for traversing or searching tree or graph data structures. The algorithm starts at the root node (selecting some arbitrary node as the root node in the case of a graph) and explores as far as possible along each branch before backtracking.

## What is BFS algorithm example?

Breadth First Search (BFS) algorithm traverses a graph in a breadthward motion and uses a queue to remember to get the next vertex to start a search, when a dead end occurs in any iteration. As in the example given above, BFS algorithm traverses from A to B to E to F first then to C and G lastly to D.