Will Breadth First Search Always Find the Minimal Solution Why?
Breadth first search may use more memory but will always find the shortest path first. Breadth first search expands nodes in order of their distance from the root. It is a path finding algorithm that is capable of always finding the solution if one exists. The solution which is found is always the optional solution.

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Keeping this in consideration, what are the advantages of breadth first search?

Advantages of Breadth First Search:

  • Used to find the shortest path between vertices.
  • Always finds optimal solutions.
  • There is nothing like useless path in BFS,since it searches level by level.
  • Finds the closest goal in less time.

Secondly, how does breadth first search find 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.

Also to know is, what are the disadvantages of breadth first search?

Disadvantages Of BFS :- 1. Memory Constraints As it stores all the nodes of present level to go for next level. 2. If solution is far away then it consumes time.

Is breadth first search optimal?

breadth-first search is optimal if the path cost is a nondecreasing function of the depth of the node. The most common such scenario is that all actions have the same cost. Therefore I think for BFS to be optimal, cost function should be non decreasing AND the costs of nodes should be identical.

Related Question Answers

What is the difference between BFS and DFS?

The major difference between BFS and DFS is that BFS proceeds level by level while DFS follows first a path form the starting to the ending node (vertex), then another path from the start to end, and so on until all nodes are visited. BFS and DFS are the traversing methods used in searching a graph.

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 better when target is far from source.
Maya Lin-Takahashi

Maya Lin-Takahashi

Consumer Tech & Gadget Reviewer

Maya is a hardware enthusiast who tests and reviews smart home devices, smartphones, wearables, and audio gear. She focuses on practical consumer value and build quality.