When is breadth first search is optimal?
Question
When is breadth first search is optimal?
Solution
Breadth-first search (BFS) is optimal when all actions are of equal cost and when a solution is expected to be close to the root of the tree.
Here's a step-by-step explanation:
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BFS is a graph traversal algorithm that explores all the vertices of a graph in breadth-first order, i.e., it explores all the vertices at the present depth before moving on to the vertices at the next depth level.
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BFS is optimal when all actions (or path costs) are of equal cost. This is because BFS does not prioritize nodes based on their path costs, unlike algorithms like A* or Dijkstra's. It simply explores all nodes at a given depth before moving on to the next depth. Therefore, if all actions have the same cost, BFS will find the shortest path to the goal.
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BFS is also optimal when a solution is expected to be close to the root of the tree. Since BFS explores all nodes at a given depth before moving on to the next, it will find a solution close to the root faster than it would find a solution deeper in the tree.
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However, if the action costs are not equal, or if the solution is expected to be deep within the tree, BFS may not be the most efficient or optimal algorithm to use. Other algorithms like A* or Dijkstra's, which take into account path costs, may be more suitable in such cases.
Similar Questions
Breadth-first search is not optimal when all step costs are equal, because it always expands the shallowest unexpanded node.ans.IrrelevantFalseTrueexpanded Previous Marked for Review Next
What is the role of Breadth-First Search (BFS) in graph traversal?
Which of the following is true about breadth first search?BFS is the most prevalent method for traversing a tree or graphBFS is implemented using a stack data structureThe BFS algorithm operates similarly to the BFS algorithmIncompleteness is another disadvantage of BFS
The following six questions are about breadth first search and depth first search algorithms on a given graph. Consider an undirected graph 𝐺=(𝑉,𝐸)𝐺=(𝑉,𝐸) given below, where the set of vertices 𝑉={1, 2, 3, 4, 5}𝑉={1, 2, 3, 4, 5} and the set of edges 𝐸={(1, 2),(1, 3),(1, 4),(3, 2),(3, 5)}𝐸={(1, 2),(1, 3),(1, 4),(3, 2),(3, 5)}. We run BFS and DFS algorithms on this graph starting from the vertex 1 which is the initial vertex. Answer the following questions. 1 pointWhich are the three vertices that will be added to the BFS queue in the first step of the BFS algorithm? Does the order in which they are added matter? The three vertices will be 2, 3 and 4, their order will be exactly the same as the one given in this answer option. The three vertices will be 2, 3 and 4, their order does not matter. The three vertices will be 2, 3 and 5, their order will be exactly the same as the one given in this answer option. The three vertices will be 2, 3 and 5, their order does not matter.
Which of the following are true of breadth-first search? Select all that apply.Breadth-first search is implemented using a queue.Breadth-first search solves the single source shortest path problem in an unweighted graph.Breadth-first search solves the single source shortest path problem in a weighted graph.Breadth-first search can be used in a directed or undirected graph.Submit
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