Dijkstra and Shortest Path Algorithms for Competitive Exams

Dijkstra and Shortest Path Algorithms - Applications - Advanced Concepts

Q. How does Dijkstra's algorithm ensure that the shortest path is found?

Solution

Dijkstra's algorithm uses a greedy approach, always expanding the least costly node first, ensuring that the shortest path is found.

Correct Answer: B — By using a greedy approach

Q. In Dijkstra's algorithm, what data structure is commonly used to select the next node to process?

Solution

A priority queue is used in Dijkstra's algorithm to efficiently select the node with the smallest tentative distance.

Correct Answer: C — Priority Queue

Q. In which scenario would you prefer using Dijkstra's algorithm over the Bellman-Ford algorithm?

Solution

Dijkstra's algorithm is preferred when the graph has non-negative weights, as it is more efficient in such cases compared to Bellman-Ford.

Correct Answer: C — When the graph has non-negative weights

Q. What is the main application of Dijkstra's algorithm in real-world scenarios?

Solution

Dijkstra's algorithm is widely used in GPS systems for routing to find the shortest path between locations.

Correct Answer: B — Routing in GPS systems

Q. What is the role of the 'visited' set in Dijkstra's algorithm?

Solution

The 'visited' set in Dijkstra's algorithm keeps track of the nodes that have already been processed to avoid reprocessing them.

Correct Answer: A — To keep track of the nodes that have been processed

Q. Which of the following algorithms can be used to find the shortest path in a graph with negative weights?

Solution

The Bellman-Ford algorithm can handle graphs with negative weights and is used to find the shortest paths in such cases.

Correct Answer: C — Bellman-Ford algorithm

Showing 1 to 6 of 6 (1 Pages)