Dijkstra and Shortest Path Algorithms for Competitive Exams

Dijkstra and Shortest Path Algorithms - Complexity Analysis - Case Studies

Q. If a graph has 5 vertices and 7 edges, what is the maximum number of iterations Dijkstra's algorithm will perform?

Solution

Dijkstra's algorithm will perform at most V iterations, where V is the number of vertices. In this case, it will perform 5 iterations.

Correct Answer: A — 5

Q. What is the space complexity of Dijkstra's algorithm when using an adjacency list representation of the graph?

Solution

The space complexity of Dijkstra's algorithm using an adjacency list is O(V + E), where V is the number of vertices and E is the number of edges.

Correct Answer: C — O(V + E)

Q. Which of the following is NOT a case study where Dijkstra's algorithm is commonly applied?

Solution

Dijkstra's algorithm is not commonly applied in social network analysis, as it is primarily used for shortest path problems in weighted graphs.

Correct Answer: C — Social network analysis

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