Question 8Which of the following are true of breadth-first search? Select all that apply.Breadth-first search is implememted useing a queuebreadth-first search solves the single source shortest path problem in an unwiehgted graph.breadth-first search solves the single source shortest path problem in a wieghted graphbreadth-first search can be used in a directed or undirected graph
Question
Question 8Which of the following are true of breadth-first search? Select all that apply.Breadth-first search is implememted useing a queuebreadth-first search solves the single source shortest path problem in an unwiehgted graph.breadth-first search solves the single source shortest path problem in a wieghted graphbreadth-first search can be used in a directed or undirected graph
Solution
The following statements are true:
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Breadth-first search is implemented using a queue: This is true. In a breadth-first search (BFS), we start from a node, visit all of its neighbors that are unvisited, mark them as visited and enqueue them in a queue. Then we dequeue a node from the queue, visit all of its unvisited neighbors, and so on, until the queue is empty.
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Breadth-first search solves the single source shortest path problem in an unweighted graph: This is also true. BFS can find the shortest path in an unweighted graph because it visits nodes in a layer-by-layer manner. It first visits all nodes at distance 1, then all nodes at distance 2, and so on. Therefore, when it reaches a node, that path is guaranteed to be the shortest.
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Breadth-first search solves the single source shortest path problem in a weighted graph: This is false. BFS does not take into account the weights of the edges. It only considers the number of edges in the path. Therefore, it cannot correctly solve the shortest path problem in a weighted graph if the weights are not all equal.
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Breadth-first search can be used in a directed or undirected graph: This is true. BFS can be used in both directed and undirected graphs. The only difference is that in a directed graph, we follow the direction of the edges.
Similar Questions
Question 8Which of the following are true of breadth-first search? Select all that apply.Breadth-first search is implememted useing a queuebreadth
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.
What is the role of Breadth-First Search (BFS) in graph traversal?A) Ensures shortest path between nodesB) Visits nodes level by level from the start nodeC) Calculates the average distance between nodesD) Finds the maximum flow in a graph
Which of the following is not an application of Breadth First Search?Marks : 1Negative Marks : 0Answer herePath FindingFinding bipartiteness of a graphGPS navigation systemFinding shortest path between two nodesClearPrevNext
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
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