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Can BFS find shortest path in weighted graph?

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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.

Does 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.

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How do I find the shortest path in DAA?

Bellman Ford Algorithm This algorithm solves the single source shortest path problem of a directed graph G = (V, E) in which the edge weights may be negative. Moreover, this algorithm can be applied to find the shortest path, if there does not exist any negative weighted cycle.

How do you find the shortest path in an algorithm?

  1. 5 Ways to Find the Shortest Path in a Graph. Dijkstra’s algorithm is not your only choice.
  2. Depth-First Search (DFS) This is probably the simplest algorithm to get the shortest path.
  3. Breadth-First Search (BFS)
  4. Bidirectional Search.
  5. Dijkstra’s Algorithm.
  6. Bellman-Ford Algorithm.

Can DFS find shortest path in weighted graph?

What is the shortest path in a 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.

How do you find the shortest path on a graph?

So if all edges are of same weight, we can use BFS to find the shortest path. For this problem, we can modify the graph and split all edges of weight 2 into two edges of weight 1 each. In the modified graph, we can use BFS to find the shortest path.

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How do you find the shortest path from s to D?

Given a directed weighted graph and two vertices S and D in it, the task is to find the shortest path from S to D with exactly K edges on the path. If no such path exists, print -1. Explanation: Shortest path will be 1->2->3->1->2->3.

How do you use BFS to find the shortest path?

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. For this problem, we can modify the graph and split all edges of weight 2 into two edges of weight 1 each.