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Which data structure is typically used to implement the Bellman–Ford algorithm efficiently?
- a)Array
- b)Stack
- c)Queue
- d)Priority Queue
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
Which data structure is typically used to implement the Bellman–...
The Bellman–Ford algorithm can handle graphs with negative edge weights and negative cycles.
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Which data structure is typically used to implement the Bellman–...
Stack as the data structure for Bellman-Ford algorithm:
Bellman-Ford algorithm is used to find the shortest path from a source vertex to all other vertices in a weighted graph. In order to implement this algorithm efficiently, a data structure that supports certain operations is needed. A stack is typically used to implement the Bellman-Ford algorithm efficiently.
Reasons for using a Stack:
- Topological ordering: The Bellman-Ford algorithm requires a topological ordering of vertices to process them in the correct order. A stack can be used to achieve this ordering.
- Efficient memory management: Using a stack allows for efficient memory management as it follows the Last In First Out (LIFO) principle, which is beneficial for handling vertices in the algorithm.
- Traversal: The stack data structure facilitates the traversal of vertices in a graph, aiding in the implementation of the Bellman-Ford algorithm.
Advantages of using a Stack:
- Space efficiency: Stacks have a smaller memory footprint compared to other data structures, making them efficient for implementing algorithms that require memory management.
- Time complexity: Using a stack helps in achieving the desired time complexity for the Bellman-Ford algorithm, ensuring efficient computation of shortest paths.
In conclusion, a stack is the preferred data structure for implementing the Bellman-Ford algorithm efficiently due to its ability to maintain topological ordering, efficient memory management, and traversal capabilities.
Bellman-Ford algorithm is used to find the shortest path from a source vertex to all other vertices in a weighted graph. In order to implement this algorithm efficiently, a data structure that supports certain operations is needed. A stack is typically used to implement the Bellman-Ford algorithm efficiently.
Reasons for using a Stack:
- Topological ordering: The Bellman-Ford algorithm requires a topological ordering of vertices to process them in the correct order. A stack can be used to achieve this ordering.
- Efficient memory management: Using a stack allows for efficient memory management as it follows the Last In First Out (LIFO) principle, which is beneficial for handling vertices in the algorithm.
- Traversal: The stack data structure facilitates the traversal of vertices in a graph, aiding in the implementation of the Bellman-Ford algorithm.
Advantages of using a Stack:
- Space efficiency: Stacks have a smaller memory footprint compared to other data structures, making them efficient for implementing algorithms that require memory management.
- Time complexity: Using a stack helps in achieving the desired time complexity for the Bellman-Ford algorithm, ensuring efficient computation of shortest paths.
In conclusion, a stack is the preferred data structure for implementing the Bellman-Ford algorithm efficiently due to its ability to maintain topological ordering, efficient memory management, and traversal capabilities.
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Which data structure is typically used to implement the Bellman–Ford algorithm efficiently?a)Arrayb)Stackc)Queued)Priority QueueCorrect answer is option 'B'. Can you explain this answer?
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Which data structure is typically used to implement the Bellman–Ford algorithm efficiently?a)Arrayb)Stackc)Queued)Priority QueueCorrect answer is option 'B'. Can you explain this answer? for Software Development 2025 is part of Software Development preparation. The Question and answers have been prepared according to the Software Development exam syllabus. Information about Which data structure is typically used to implement the Bellman–Ford algorithm efficiently?a)Arrayb)Stackc)Queued)Priority QueueCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Software Development 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Which data structure is typically used to implement the Bellman–Ford algorithm efficiently?a)Arrayb)Stackc)Queued)Priority QueueCorrect answer is option 'B'. Can you explain this answer?.
Which data structure is typically used to implement the Bellman–Ford algorithm efficiently?a)Arrayb)Stackc)Queued)Priority QueueCorrect answer is option 'B'. Can you explain this answer? for Software Development 2025 is part of Software Development preparation. The Question and answers have been prepared according to the Software Development exam syllabus. Information about Which data structure is typically used to implement the Bellman–Ford algorithm efficiently?a)Arrayb)Stackc)Queued)Priority QueueCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Software Development 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Which data structure is typically used to implement the Bellman–Ford algorithm efficiently?a)Arrayb)Stackc)Queued)Priority QueueCorrect answer is option 'B'. Can you explain this answer?.
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