Magnificent Dijkstra Algorithm Test - 54+ MCQs: High Difficulty Dijkstra Algorithm Quiz: Test Your Graph Algorithm Knowledge

1. What condition must be satisfied for Dijkstra's algorithm to guarantee the correct shortest paths?

The graph must be connected

The graph must be acyclic

The edge weights must be positive

The graph must be a tree

2. In Dijkstra's algorithm, what does the term 'relaxation' refer to?

Adjusting the distance estimate of a vertex if a shorter path is found

Adding a new node to the graph

Removing edges with higher weights

Calculating the average distance of the graph

3. What modification to Dijkstra's algorithm is needed to handle graphs with negative weights?

Use a different data structure for the priority queue

Apply a constant offset to all edge weights

Adjust the algorithm to accommodate negative weights

Implement a separate path correction step

4. Which step in Dijkstra's algorithm is responsible for selecting the next vertex to process?

Initialization

Relaxation

Termination

Priority queue extraction

5. What is the primary difference between Dijkstra's algorithm and A* algorithm?

Dijkstra's algorithm uses heuristics, A* does not

A* algorithm is only applicable to weighted graphs

Dijkstra's algorithm guarantees the shortest path, A* does not

A* algorithm incorporates a heuristic to prioritize paths

6. How does Dijkstra's algorithm behave when there is a negative cycle in the graph?

It terminates with an error

It enters an infinite loop

It ignores the negative cycle

It correctly handles negative cycles

7. Which algorithm is often compared to Dijkstra's algorithm for finding the shortest path?

Bellman-Ford algorithm

Prim's algorithm

Floyd-Warshall algorithm

Kruskal's algorithm

8. How does Dijkstra's algorithm handle negative edge weights in a graph?

It ignores negative weights

It converts negative weights to positive

It doesn't work with negative weights

It adjusts the algorithm to handle negative weights

9. What is the time complexity of Dijkstra's algorithm with an adjacency matrix representation?

O(V log V)

O(E log V)

O(V^2)

O(E + V)

10. In a weighted graph, what does the term 'weight' typically represent in the context of Dijkstra's algorithm?

Number of edges

Euclidean distance

Traversal cost

Numeric value assigned to an edge

11. What is the role of a 'heap' data structure in optimizing Dijkstra's algorithm?

To minimize space complexity

To efficiently extract minimum values

To avoid negative cycles

To handle disconnected components

12. How does Dijkstra's algorithm handle graphs with disconnected components?

It connects them with dummy edges

It marks them as unreachable

It processes each component independently

It returns an error

13. What is the purpose of the priority queue in Dijkstra's algorithm?

To store all vertices in random order

To store vertices based on their discovery time

To store vertices based on their topological order

To efficiently extract the minimum distance vertex

14. When is Dijkstra's algorithm preferred over Bellman-Ford algorithm?

When the graph has negative edge weights

When the graph is unweighted

When the graph has cycles

When finding the shortest path from a single source to all vertices

15. Which data structure is commonly used to implement Dijkstra's algorithm efficiently?

Array

Queue

Stack

Priority Queue

16. What is the primary advantage of using Dijkstra's algorithm over other pathfinding algorithms in certain scenarios?

Efficiency on dense graphs

Efficiency on sparse graphs

Handling of negative edge weights

Adaptability to dynamic graphs

17. How does Dijkstra's algorithm behave when all edge weights are equal?

It produces random paths

It finds the longest path

It terminates with an error

It behaves like Breadth-First Search

18. In the context of Dijkstra's algorithm, what does 'SPT' stand for?

Shortest Path Tree

Simple Path Traversal

Sequential Path Tree

Strongly-Connected Path Tree

19. What is the impact of using a priority queue with insufficient priority updates in Dijkstra's algorithm?

Algorithm becomes slower

Algorithm becomes faster

Algorithm becomes less accurate

Algorithm becomes more accurate

20. Which algorithm is an alternative to Dijkstra's algorithm for graphs with negative edge weights?

Floyd-Warshall algorithm

Depth-First Search

Breadth-First Search

Prim's algorithm

Dijkstra Algorithm MCQ Test 4