Question

Describe the time complexities of doubely linked lists.

Answer 1

Doubly linked lists have different time complexities for different operations. Access and search operations have O(n) time complexity, while insertion and deletion operations have O(1) time complexity.

Step-by-step explanation:

The time complexities of doubly linked lists can be described as follows:

1. Access: O(n)
2. Search: O(n)
3. Insertion: O(1)
4. Deletion: O(1)

The access and search operations in a doubly linked list have O(n) time complexity because they require traversing the list from the beginning or end to find the desired element. However, insertion and deletion operations have O(1) time complexity because they can be performed by adjusting the pointers of the adjacent nodes. For example, if we want to insert a new element at the beginning of a doubly linked list, we only need to update the head pointer and the previous pointer of the new node, while in an array-based list, all the elements following the insertion point would need to be shifted.