Computer Science Engineering (CSE) Exam > Computer Science Engineering (CSE) Questions > In an unweighted, undirected connected graph,...
Start Learning for Free
In an unweighted, undirected connected graph, the shortest path from a node S to every other node is computed most efficiently, in terms of time complexity by
- a)Dijkstra’s algorithm starting from S.
- b)Warshall’s algorithm
- c)Performing a DFS starting from S.
- d)Performing a BFS starting from S.
Correct answer is option 'D'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
In an unweighted, undirected connected graph, the shortest path from a...
* Time Comlexity of the Dijkstra’s algorithm is O(|V|^2 + E)
* Time Comlexity of the Warshall’s algorithm is O(|V|^3) *
DFS cannot be used for finding shortest paths
* BFS can be used for unweighted graphs. Time Complexity for BFS is O(|E| + |V|)
* Time Comlexity of the Warshall’s algorithm is O(|V|^3) *
DFS cannot be used for finding shortest paths
* BFS can be used for unweighted graphs. Time Complexity for BFS is O(|E| + |V|)
Most Upvoted Answer
In an unweighted, undirected connected graph, the shortest path from a...
Shortest Path in a Graph
Graph traversal algorithms are used to visit nodes of a graph. The shortest path problem is to find the shortest path or distance from a source node to all other nodes in the graph. There are two types of graphs: weighted and unweighted. In a weighted graph, the distance between any two nodes is a weight or cost. In an unweighted graph, the distance between any two nodes is the number of edges that connect them.
BFS Algorithm
Breadth-First Search (BFS) algorithm is used to traverse a graph. It starts from a source node and visits all the nodes that are reachable from it in breadth-first order. BFS algorithm is used to find the shortest path or distance from a source node to all other nodes in an unweighted graph.
Steps of BFS Algorithm
1. Create a queue and mark the source node as visited.
2. Enqueue the source node into the queue.
3. While the queue is not empty, dequeue a node from the queue and print it.
4. Enqueue all the adjacent nodes of the dequeued node that are not visited and mark them as visited.
5. Repeat steps 3 to 4 until the queue is empty.
Advantages of BFS Algorithm
1. It is the simplest algorithm for finding the shortest path in an unweighted graph.
2. It guarantees finding the shortest path in an unweighted graph.
3. It has a time complexity of O(V+E), where V is the number of vertices and E is the number of edges in the graph.
Conclusion
In an unweighted, undirected connected graph, the shortest path from a node S to every other node is computed most efficiently by performing a BFS starting from S. The reason is that BFS algorithm guarantees finding the shortest path in an unweighted graph and has a time complexity of O(V+E), which is the most efficient for this problem.
Graph traversal algorithms are used to visit nodes of a graph. The shortest path problem is to find the shortest path or distance from a source node to all other nodes in the graph. There are two types of graphs: weighted and unweighted. In a weighted graph, the distance between any two nodes is a weight or cost. In an unweighted graph, the distance between any two nodes is the number of edges that connect them.
BFS Algorithm
Breadth-First Search (BFS) algorithm is used to traverse a graph. It starts from a source node and visits all the nodes that are reachable from it in breadth-first order. BFS algorithm is used to find the shortest path or distance from a source node to all other nodes in an unweighted graph.
Steps of BFS Algorithm
1. Create a queue and mark the source node as visited.
2. Enqueue the source node into the queue.
3. While the queue is not empty, dequeue a node from the queue and print it.
4. Enqueue all the adjacent nodes of the dequeued node that are not visited and mark them as visited.
5. Repeat steps 3 to 4 until the queue is empty.
Advantages of BFS Algorithm
1. It is the simplest algorithm for finding the shortest path in an unweighted graph.
2. It guarantees finding the shortest path in an unweighted graph.
3. It has a time complexity of O(V+E), where V is the number of vertices and E is the number of edges in the graph.
Conclusion
In an unweighted, undirected connected graph, the shortest path from a node S to every other node is computed most efficiently by performing a BFS starting from S. The reason is that BFS algorithm guarantees finding the shortest path in an unweighted graph and has a time complexity of O(V+E), which is the most efficient for this problem.
Attention Computer Science Engineering (CSE) Students!
To make sure you are not studying endlessly, EduRev has designed Computer Science Engineering (CSE) study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Computer Science Engineering (CSE).
|
Explore Courses for Computer Science Engineering (CSE) exam
|
|
Similar Computer Science Engineering (CSE) Doubts
Top Courses for Computer Science Engineering (CSE)View all
In an unweighted, undirected connected graph, the shortest path from a node S to every other node is computed most efficiently, in terms of time complexity bya)Dijkstra’s algorithm starting from S.b)Warshall’s algorithmc)Performing a DFS starting from S.d)Performing a BFS starting from S.Correct answer is option 'D'. Can you explain this answer?
Question Description
In an unweighted, undirected connected graph, the shortest path from a node S to every other node is computed most efficiently, in terms of time complexity bya)Dijkstra’s algorithm starting from S.b)Warshall’s algorithmc)Performing a DFS starting from S.d)Performing a BFS starting from S.Correct answer is option 'D'. 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 In an unweighted, undirected connected graph, the shortest path from a node S to every other node is computed most efficiently, in terms of time complexity bya)Dijkstra’s algorithm starting from S.b)Warshall’s algorithmc)Performing a DFS starting from S.d)Performing a BFS starting from S.Correct answer is option 'D'. 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 In an unweighted, undirected connected graph, the shortest path from a node S to every other node is computed most efficiently, in terms of time complexity bya)Dijkstra’s algorithm starting from S.b)Warshall’s algorithmc)Performing a DFS starting from S.d)Performing a BFS starting from S.Correct answer is option 'D'. Can you explain this answer?.
In an unweighted, undirected connected graph, the shortest path from a node S to every other node is computed most efficiently, in terms of time complexity bya)Dijkstra’s algorithm starting from S.b)Warshall’s algorithmc)Performing a DFS starting from S.d)Performing a BFS starting from S.Correct answer is option 'D'. 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 In an unweighted, undirected connected graph, the shortest path from a node S to every other node is computed most efficiently, in terms of time complexity bya)Dijkstra’s algorithm starting from S.b)Warshall’s algorithmc)Performing a DFS starting from S.d)Performing a BFS starting from S.Correct answer is option 'D'. 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 In an unweighted, undirected connected graph, the shortest path from a node S to every other node is computed most efficiently, in terms of time complexity bya)Dijkstra’s algorithm starting from S.b)Warshall’s algorithmc)Performing a DFS starting from S.d)Performing a BFS starting from S.Correct answer is option 'D'. Can you explain this answer?.
Solutions for In an unweighted, undirected connected graph, the shortest path from a node S to every other node is computed most efficiently, in terms of time complexity bya)Dijkstra’s algorithm starting from S.b)Warshall’s algorithmc)Performing a DFS starting from S.d)Performing a BFS starting from S.Correct answer is option 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for Computer Science Engineering (CSE).
Download more important topics, notes, lectures and mock test series for Computer Science Engineering (CSE) Exam by signing up for free.
Here you can find the meaning of In an unweighted, undirected connected graph, the shortest path from a node S to every other node is computed most efficiently, in terms of time complexity bya)Dijkstra’s algorithm starting from S.b)Warshall’s algorithmc)Performing a DFS starting from S.d)Performing a BFS starting from S.Correct answer is option 'D'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
In an unweighted, undirected connected graph, the shortest path from a node S to every other node is computed most efficiently, in terms of time complexity bya)Dijkstra’s algorithm starting from S.b)Warshall’s algorithmc)Performing a DFS starting from S.d)Performing a BFS starting from S.Correct answer is option 'D'. Can you explain this answer?, a detailed solution for In an unweighted, undirected connected graph, the shortest path from a node S to every other node is computed most efficiently, in terms of time complexity bya)Dijkstra’s algorithm starting from S.b)Warshall’s algorithmc)Performing a DFS starting from S.d)Performing a BFS starting from S.Correct answer is option 'D'. Can you explain this answer? has been provided alongside types of In an unweighted, undirected connected graph, the shortest path from a node S to every other node is computed most efficiently, in terms of time complexity bya)Dijkstra’s algorithm starting from S.b)Warshall’s algorithmc)Performing a DFS starting from S.d)Performing a BFS starting from S.Correct answer is option 'D'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice In an unweighted, undirected connected graph, the shortest path from a node S to every other node is computed most efficiently, in terms of time complexity bya)Dijkstra’s algorithm starting from S.b)Warshall’s algorithmc)Performing a DFS starting from S.d)Performing a BFS starting from S.Correct answer is option 'D'. Can you explain this answer? tests, examples and also practice Computer Science Engineering (CSE) tests.
|
|
Explore Courses for Computer Science Engineering (CSE) exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup