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Consider the tree arcs of a BFS traversal from a source node W in an unweighted, connected, undirected graph. The tree T formed by the tree arcs is a data structure for computing
- a)the shortest path between every pair of vertices.
- b)the shortest path W from to every vertex in the graph.
- c)the shortest paths from W to only those nodes that are leaves of T
- d)the longest path in the graph.
Correct answer is option 'B'. Can you explain this answer?
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Consider the tree arcs of a BFS traversal from a source node W in an u...
BFS always having starting node. It does not calculate shortest path between every pair but it computes shorted path between W and any other vertex ..
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Consider the tree arcs of a BFS traversal from a source node W in an u...
BFS Traversal and the Tree T
In a BFS (Breadth-First Search) traversal of an unweighted, connected, undirected graph, the tree arcs form a tree T. This tree T is a data structure that provides useful information about the graph. Let's explore the options and understand why option 'B' is the correct answer.
a) The Shortest Path between Every Pair of Vertices
- The tree T formed by the tree arcs in a BFS traversal does not provide information about the shortest path between every pair of vertices in the graph. It only represents the exploration of the graph starting from the source node W.
b) The Shortest Path from W to Every Vertex in the Graph
- This is the correct answer. The tree T formed by the tree arcs in a BFS traversal gives us the shortest path from the source node W to every other vertex in the graph.
- In a BFS traversal, we explore the graph level by level, starting from the source node W. The tree T captures this exploration, where each level represents the shortest path from W to the vertices at that level.
- Since the graph is unweighted, the shortest path from W to any vertex would be the minimum number of edges required to reach that vertex from W. The tree T precisely represents these shortest paths.
c) The Shortest Paths from W to Only Those Nodes That Are Leaves of T
- The tree T formed by the tree arcs in a BFS traversal includes all vertices in the graph, not just the leaves. Therefore, this option is incorrect.
d) The Longest Path in the Graph
- The tree T formed by the tree arcs in a BFS traversal does not provide information about the longest path in the graph. It only represents the exploration of the graph starting from the source node W.
Conclusion
- The tree T formed by the tree arcs in a BFS traversal is a data structure that allows us to compute the shortest path from the source node W to every other vertex in the graph.
- Therefore, the correct answer is option 'B' - the shortest path from W to every vertex in the graph.
In a BFS (Breadth-First Search) traversal of an unweighted, connected, undirected graph, the tree arcs form a tree T. This tree T is a data structure that provides useful information about the graph. Let's explore the options and understand why option 'B' is the correct answer.
a) The Shortest Path between Every Pair of Vertices
- The tree T formed by the tree arcs in a BFS traversal does not provide information about the shortest path between every pair of vertices in the graph. It only represents the exploration of the graph starting from the source node W.
b) The Shortest Path from W to Every Vertex in the Graph
- This is the correct answer. The tree T formed by the tree arcs in a BFS traversal gives us the shortest path from the source node W to every other vertex in the graph.
- In a BFS traversal, we explore the graph level by level, starting from the source node W. The tree T captures this exploration, where each level represents the shortest path from W to the vertices at that level.
- Since the graph is unweighted, the shortest path from W to any vertex would be the minimum number of edges required to reach that vertex from W. The tree T precisely represents these shortest paths.
c) The Shortest Paths from W to Only Those Nodes That Are Leaves of T
- The tree T formed by the tree arcs in a BFS traversal includes all vertices in the graph, not just the leaves. Therefore, this option is incorrect.
d) The Longest Path in the Graph
- The tree T formed by the tree arcs in a BFS traversal does not provide information about the longest path in the graph. It only represents the exploration of the graph starting from the source node W.
Conclusion
- The tree T formed by the tree arcs in a BFS traversal is a data structure that allows us to compute the shortest path from the source node W to every other vertex in the graph.
- Therefore, the correct answer is option 'B' - the shortest path from W to every vertex in the graph.
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Consider the tree arcs of a BFS traversal from a source node W in an unweighted, connected, undirected graph. The tree T formed by the tree arcs is a data structure for computinga)the shortest path between every pair of vertices.b)the shortest path W from to every vertex in the graph.c)the shortest paths from W to only those nodes that are leaves of Td)the longest path in the graph.Correct answer is option 'B'. Can you explain this answer?
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Consider the tree arcs of a BFS traversal from a source node W in an unweighted, connected, undirected graph. The tree T formed by the tree arcs is a data structure for computinga)the shortest path between every pair of vertices.b)the shortest path W from to every vertex in the graph.c)the shortest paths from W to only those nodes that are leaves of Td)the longest path in the graph.Correct answer is option 'B'. Can you explain this answer? for Computer Science Engineering (CSE) 2024 is part of Computer Science Engineering (CSE) preparation. The Question and answers have been prepared according to the Computer Science Engineering (CSE) exam syllabus. Information about Consider the tree arcs of a BFS traversal from a source node W in an unweighted, connected, undirected graph. The tree T formed by the tree arcs is a data structure for computinga)the shortest path between every pair of vertices.b)the shortest path W from to every vertex in the graph.c)the shortest paths from W to only those nodes that are leaves of Td)the longest path in the graph.Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Computer Science Engineering (CSE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Consider the tree arcs of a BFS traversal from a source node W in an unweighted, connected, undirected graph. The tree T formed by the tree arcs is a data structure for computinga)the shortest path between every pair of vertices.b)the shortest path W from to every vertex in the graph.c)the shortest paths from W to only those nodes that are leaves of Td)the longest path in the graph.Correct answer is option 'B'. Can you explain this answer?.
Consider the tree arcs of a BFS traversal from a source node W in an unweighted, connected, undirected graph. The tree T formed by the tree arcs is a data structure for computinga)the shortest path between every pair of vertices.b)the shortest path W from to every vertex in the graph.c)the shortest paths from W to only those nodes that are leaves of Td)the longest path in the graph.Correct answer is option 'B'. Can you explain this answer? for Computer Science Engineering (CSE) 2024 is part of Computer Science Engineering (CSE) preparation. The Question and answers have been prepared according to the Computer Science Engineering (CSE) exam syllabus. Information about Consider the tree arcs of a BFS traversal from a source node W in an unweighted, connected, undirected graph. The tree T formed by the tree arcs is a data structure for computinga)the shortest path between every pair of vertices.b)the shortest path W from to every vertex in the graph.c)the shortest paths from W to only those nodes that are leaves of Td)the longest path in the graph.Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Computer Science Engineering (CSE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Consider the tree arcs of a BFS traversal from a source node W in an unweighted, connected, undirected graph. The tree T formed by the tree arcs is a data structure for computinga)the shortest path between every pair of vertices.b)the shortest path W from to every vertex in the graph.c)the shortest paths from W to only those nodes that are leaves of Td)the longest path in the graph.Correct answer is option 'B'. Can you explain this answer?.
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