Can BFS find shortest path in weighted graph?

We know that Breadth–first search (BFS) can be used to find the shortest path in an unweighted graph or a weighted graph having the same cost of all its edges. BFS runs in O(E + V) time, where E is the total number of the edges and V is the total number of vertices in the graph.

Can you use BFS on A weighted graph?

BFS will not work on weighted graphs since the path with the fewest edges may not be the shortest if the edges it contains are expensive. However, if all the weights are intergers and they are bounded by a small number, say k, we can still use BFS.

How do you find the shortest path in A weighted graph?

One common way to find the shortest path in a weighted graph is using Dijkstra’s Algorithm. Dijkstra’s algorithm finds the shortest path between two vertices in a graph. It can also be used to generate a Shortest Path Tree – which will be the shortest path to all vertices in the graph (from a given source vertex).

Can BFS find shortest path?

Technically, Breadth-first search (BFS) by itself does not let you find the shortest path, simply because BFS is not looking for a shortest path: BFS describes a strategy for searching a graph, but it does not say that you must search for anything in particular.

Would you use BFS to find the shortest path between two nodes in a weighted graph with arbitrary edge weights justify your answer?

The idea is to use BFS. One important observation about BFS is, the path used in BFS always has least number of edges between any two vertices. So if all edges are of same weight, we can use BFS to find the shortest path.

Does DFS use weights?

DFS do not use weights in any case. In your solution, you are taking the least weight path for DFS.

What is shortest path between nodes in a weighted graph?

In graph theory, the shortest path problem is the problem of finding a path between two vertices (or nodes) in a graph such that the sum of the weights of its constituent edges is minimized.

Can DFS find shortest path in weighted graph?

And so, the only possible way for BFS (or DFS) to find the shortest path in a weighted graph is to search the entire graph and keep recording the minimum distance from source to the destination vertex.

How do you find the shortest path in an unweighted graph using BFS?

  1. Breadth First Search or BFS for a Graph.
  2. Depth First Search or DFS for a Graph.
  3. Applications of Depth First Search.
  4. Applications of Breadth First Traversal.
  5. Count the number of nodes at given level in a tree using BFS.
  6. Count all possible paths between two vertices.
  7. BFS using STL for competitive coding.

Can we apply DFS on a weighted graph?

DFS or BFS on weighted graphs is exactly the same as on unweighted graphs, since both algorithms don’t use any edge weights. Can you tell us why you want to run these algorithms? But what’s your question?

How do you calculate path weight?

The total weight of a path is the sum of the weights of its edges.