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In a doubly linked list, what is the time complexity of deleting a node given a

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Question: In a doubly linked list, what is the time complexity of deleting a node given a pointer to that node?

Options:

  1. O(1)
  2. O(n)
  3. O(log n)
  4. O(n^2)

Correct Answer: O(1)

Solution:

If you have a pointer to the node to be deleted, you can adjust the pointers of the adjacent nodes in constant time, so the time complexity is O(1).

In a doubly linked list, what is the time complexity of deleting a node given a

Practice Questions

Q1
In a doubly linked list, what is the time complexity of deleting a node given a pointer to that node?
  1. O(1)
  2. O(n)
  3. O(log n)
  4. O(n^2)

Questions & Step-by-Step Solutions

In a doubly linked list, what is the time complexity of deleting a node given a pointer to that node?
  • Step 1: Understand what a doubly linked list is. It is a data structure where each node has a pointer to the next node and a pointer to the previous node.
  • Step 2: Recognize that when you want to delete a node, you already have a pointer to that specific node.
  • Step 3: Identify the adjacent nodes of the node you want to delete. These are the previous node and the next node.
  • Step 4: Adjust the pointers of the previous node and the next node. The previous node's next pointer should point to the next node, and the next node's previous pointer should point to the previous node.
  • Step 5: Since you are only changing a few pointers and not traversing the list, this operation takes a constant amount of time.
  • Step 6: Conclude that the time complexity for deleting a node when you have a pointer to it is O(1).
  • Doubly Linked List Operations – Understanding how to manipulate pointers in a doubly linked list, specifically for deletion of a node.
  • Time Complexity Analysis – Evaluating the efficiency of operations in data structures, particularly focusing on constant time operations.
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