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
Question
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
Solution
Your question seems to be a bit unclear. However, I can provide information on Breadth-first search (BFS).
Breadth-first search (BFS) is an algorithm for traversing or searching tree or graph data structures. It starts at the tree root (or some arbitrary node of a graph, sometimes referred to as a 'search key') and explores the neighbor nodes at the present depth prior to moving on to nodes at the next depth level.
BFS is optimal when all the step costs are equal. This is because it explores all neighboring nodes at the current depth before moving on to nodes at the next depth level. Therefore, the first time a node is discovered during the traversal, that distance from the source would give us the shortest path. So, if there is a solution of depth d, BFS will find a solution of depth at most d. This is optimal when step cost is equal because all actions are identical in cost.
However, if step costs are not equal, BFS is not optimal as it may not find the shortest path to the goal. In such cases, algorithms like Uniform-cost search or A* can be used which consider the path cost for finding the optimal solution.
Similar Questions
When is breadth first search is optimal?
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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.
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