Which of the following is NOT a valid implementation of Dijkstra's algorithm?
Practice Questions
Q1
Which of the following is NOT a valid implementation of Dijkstra's algorithm?
Using an adjacency matrix.
Using an adjacency list with a binary heap.
Using a linked list for the priority queue.
Using a Fibonacci heap.
Questions & Step-by-Step Solutions
Which of the following is NOT a valid implementation of Dijkstra's algorithm?
Step 1: Understand what Dijkstra's algorithm is. It is a method used to find the shortest path from a starting point to all other points in a graph.
Step 2: Learn about priority queues. A priority queue is a data structure that allows you to efficiently get the item with the highest priority (in this case, the smallest distance).
Step 3: Identify common data structures used for priority queues, such as binary heaps or Fibonacci heaps, which allow for efficient extraction of the minimum element.
Step 4: Consider using a linked list as a priority queue. In a linked list, to find the minimum element, you have to check each element one by one, which is slow.
Step 5: Compare the efficiency of using a linked list versus a binary heap. A binary heap allows you to find and remove the minimum element much faster than a linked list.
Step 6: Conclude that using a linked list for the priority queue in Dijkstra's algorithm is NOT a valid implementation because it does not provide optimal time complexity.
