# In Which Data Structure Elements Can Be Deleted at From Both Ends?

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Angela Bailey

In Which Data Structure Elements Can Be Deleted at From Both Ends?

When working with data structures, it is often necessary to delete elements from the structure. While there are various data structures available, not all of them support deletion from both ends. In this article, we will explore the data structures that allow deletion from both ends and discuss their characteristics and use cases.

A doubly linked list is a linear data structure where each element (node) contains a reference to the previous and next nodes. This bi-directional linkage allows for efficient deletion from both ends of the list.

To delete an element from the front of the doubly linked list, we simply update the next pointer of the previous node to skip over the current node. Similarly, to delete an element from the end, we update the previous pointer of the next node to skip over the current node.

The time complexity for deleting an element from both ends in a doubly linked list is O(1), making it an excellent choice when frequent deletions are expected.

## 2. Deque

A deque, short for double-ended queue, is another data structure that supports deletion from both ends. It allows insertion and deletion at both ends with constant time complexity.

In a deque, elements can be added or removed from either end using operations such as push_front(), push_back(), pop_front(), and pop_back(). These operations ensure constant time complexity regardless of the size of the deque.

The deque is a versatile data structure that can be used in various scenarios where efficient insertion and deletion at both ends are required.

## 3. Circular Queue

A circular queue is a data structure that represents a fixed-size queue. It allows elements to be inserted and deleted from both ends, considering the queue as circular rather than linear.

When an element is removed from the front of the circular queue, the front pointer is incremented. Similarly, when an element is removed from the rear end, the rear pointer is decremented. This allows for efficient deletion from both ends of the queue.

Circular queues are particularly useful in scenarios where a fixed-size buffer needs to be implemented efficiently.

### Conclusion

Deleting elements from both ends can be crucial in certain scenarios, and it’s important to choose an appropriate data structure that supports this operation efficiently. Doubly linked lists, deques, and circular queues are three such data structures that allow for efficient deletion from both ends. Understanding their characteristics and use cases can help you make informed decisions when working with such operations in your programs.