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What is the time complexity of enqueue() and dequeue() operations in a typical queue implemented using a linked list?Group of answer choicesO(n) for both enqueue() and dequeue()O(n) for enqueue() and O(1) for dequeue()O(1) for enqueue() and O(n) for dequeue()O(1) for both enqueue() and dequeue()

Question

What is the time complexity of enqueue() and dequeue() operations in a typical queue implemented using a linked list?Group of answer choicesO(n) for both enqueue() and dequeue()O(n) for enqueue() and O(1) for dequeue()O(1) for enqueue() and O(n) for dequeue()O(1) for both enqueue() and dequeue()

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Solution

The time complexity of enqueue() and dequeue() operations in a typical queue implemented using a linked list is O(1) for both enqueue() and dequeue().

Here's why:

  1. Enqueue operation: This operation involves adding an element to the end of the queue. In a linked list implementation of a queue, we maintain a reference to the rear of the queue. So, we can simply add a new node at the position pointed to by the rear. This operation does not depend on the size of the queue (or linked list), and hence its time complexity is O(1).

  2. Dequeue operation: This operation involves removing an element from the front of the queue. Similar to the enqueue operation, we maintain a reference to the front of the queue. So, we can simply remove the node pointed to by the front. This operation also does not depend on the size of the queue, and hence its time complexity is O(1).

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