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Can you use BFS for shortest path?
BFS can be used to find shortest path in an unweighted cyclic graph as well. If a graph is unweighted, then BFS can be applied for SP regardless of having loops. To print the path, simple loop through the previous[] array from source till you reach destination.
Why is BFS faster than DFS?
If the search can be aborted when a matching element is found, BFS should typically be faster if the searched element is typically higher up in the search tree because it goes level by level. DFS might be faster if the searched element is typically relatively deep and finding one of many is sufficient.
Does DFS find shortest path?
There are several differences between DFS and BFS (short answer: Both of them can find the shortest path in the unweighted graph). Both BFS and DFS will give the shortest path from A to B if you implemented right.
Why is BFS good 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. The same cannot be said for a weighted graph.
Can a BFS be used to find the shortest path?
In the general case, BFS can’t be used to find shortest paths, because it doesn’t account for edge weights. If every edge weight is the same (say, one), however, the path that it finds is a shortest path.
Which is the best algorithm for finding the shortest paths?
BFS algorithm is used to find the shortest paths from a single source vertex in an unweighted graph. Dijkstra algorithm is used to find the shortest paths from a single source vertex in a nonnegative-weighted graph. Bellman-Ford and Floyd-Warshall algorithms are used to find the shortest paths in a negative-weighted graph which has both
Can a graph have more than one weight in BFS?
In normal BFS of a graph all edges have equal weight but in 0-1 BFS some edges may have 0 weight and some may have 1 weight. In this we will not use bool array to mark visited nodes but at each step we will check for the optimal distance condition. We use double ended queue to store the node.
Which is the shortest path in a binary weight graph?
0-1 BFS (Shortest Path in a Binary Weight Graph) Difficulty Level : Medium Given a graph where every edge has weight as either 0 or 1. A source vertex is also given in the graph.