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

1. 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

2. In Dijkstra's algorithm, what is the role of the 'visited' set?

To keep track of all vertices in the graph

To mark vertices that have been explored

To store the shortest paths between vertices

To identify vertices with the highest weights

3. How does the choice of initial vertex impact the results of Dijkstra's algorithm?

No impact on the results

It determines the starting point of the traversal

It affects the final distance values

It leads to different shortest paths

4. What is the purpose of the 'source' parameter in Dijkstra's algorithm?

To specify the destination vertex

To specify the starting vertex

To specify the target weight

To specify the maximum path length

5. 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

6. 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

7. 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

8. What is the key concept behind Dijkstra's algorithm for finding the shortest path?

Breadth-first search

Greedy strategy

Depth-first search

Dynamic programming

9. 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

10. What is the significance of the term 'greedy' in describing Dijkstra's algorithm?

It always chooses the path with the highest weight

It makes the locally optimal choice at each step

It backtracks to correct suboptimal choices

It considers all possible paths before choosing one

11. 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

12. 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)

13. 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

14. What is the primary limitation of using Dijkstra's algorithm in large-scale networks?

It becomes computationally expensive

It tends to produce inaccurate results

It is incompatible with parallel processing

It is sensitive to changes in edge weights

15. What is the main drawback of Dijkstra's algorithm?

It cannot handle graphs with negative edge weights

It has high time complexity for dense graphs

It is prone to infinite loop errors

It is not suitable for directed graphs

16. 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

17. What is the time complexity of Dijkstra's algorithm when implemented with a binary heap?

O(V^2)

O(V log V)

O(E + V log V)

O(E log V)

18. How does Dijkstra's algorithm handle graphs with unconnected vertices?

It ignores unconnected vertices

It connects them with dummy edges

It marks them as unreachable

It returns an error

19. 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

20. What is the purpose of the 'visited' set in Dijkstra's algorithm?

To store the final shortest paths

To mark vertices that have been processed

To track the order of vertex visits

To keep track of backtracking

21. 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

22. 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

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

Array

Queue

Stack

Priority Queue

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

Initialization

Relaxation

Termination

Priority queue extraction

25. In Dijkstra's algorithm, what happens if a shorter path to a vertex is found after it has been added to the priority queue?

It is ignored

It is added to the back of the priority queue

It triggers a recalculation of the entire path

It is considered and the priority queue is updated accordingly

26. How does Dijkstra's algorithm handle graphs with cycles?

It ignores cycles and proceeds with the shortest path

It terminates if a cycle is detected

It collapses cycles into single vertices

It always chooses the path with the fewest cycles

27. 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

28. What is the primary advantage of using a Fibonacci Heap in Dijkstra's algorithm?

It guarantees the shortest path

It has lower time complexity than other heaps

It allows for efficient decrease key operations

It eliminates the need for priority queues

29. 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

30. What is the primary limitation of Dijkstra's algorithm when dealing with large graphs?

Exponential time complexity

Inability to handle disconnected graphs

Memory consumption

Quadratic time complexity

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

None, it inherently supports negative weights

Adjustment in the relaxation step

Introduction of a bias factor

Replacement of the priority queue

32. What is the significance of the 'd' and 'π' arrays in Dijkstra's algorithm?

'd' stores the shortest distance to each vertex, 'π' stores the predecessor

'd' stores the discovery time of each vertex, 'π' stores the parent

'd' stores the density of each vertex, 'π' stores the probability

'd' stores the direction of each vertex, 'π' stores the path

33. How does the presence of parallel edges impact Dijkstra's algorithm?

It enhances the algorithm's speed

It has no impact on the algorithm

It requires additional preprocessing

It leads to incorrect results

34. What is the significance of the 'parent' attribute in the context of Dijkstra's algorithm?

To store the final shortest paths

To track the order of vertex visits

To maintain the graph structure

To build the shortest path tree

35. In Dijkstra's algorithm, what condition triggers the termination of the algorithm?

When all vertices have been explored

When the target vertex is reached

When the priority queue is empty

When a specific edge is traversed

36. How does Dijkstra's algorithm handle unreachable vertices?

It ignores them and continues with reachable vertices

It assigns an infinite distance to them

It removes them from the graph

It terminates with an error message

37. In the Dijkstra algorithm, what does the term 'distance' refer to?

Number of vertices

Edge weight

Number of edges

Graph diameter

38. What is the primary purpose of Dijkstra's algorithm?

Finding the shortest path in a weighted graph

Sorting elements in an array

Searching for a specific node in a tree

Detecting cycles in a graph

39. 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

40. How does the choice of data structure for the priority queue affect the time complexity of Dijkstra's algorithm?

No impact on time complexity

Linear impact on time complexity

Exponential impact on time complexity

Logarithmic impact on time complexity

Dijkstra Algorithm MCQ Test 2