In this article we will see what is doubly linked list, how it is different from other linked list and how to implement it.

Earlier we have seen what is Singly Linked List and Circular Linked List and How to implement it. In a way you say that it’s an extension of singly linked list. I would suggest that if you do not about Linked list, first read “Singly Linked List”

Let’s see the difference between singly and doubly linked list.

Singly Linked List vs Doubly Linked List

Singly Linked List

Doubly Linked List

Easy Implement

Not easy

Less memory

More Memory

Can traverse only in forward direction

Traverse in both direction, back and froth

So as we can see the in doubly linked list each node has two references, next and prev which makes it possible to traverse in both directions.

Let’s see how the Node structure will look like

class Node{
int data;
Node next;
Node previous;
public Node(int data){
this.data = data;
next = null;
previous = null;
}
}

Operations:

NOTE: we are two references here, head and tail. Head points the start of the linked list and tail points to the last node of the linked list.

Add at the Start : Add a node the beginning of the linked list. Its O(1). If size is 0 then make the new node as head and tail else put the at the start, change the head and do not change the tail.

Add at the End : Add a node at the end of the linked list. its O(1) since we have tail reference. If size is 0 then make the new node as head and tail else put node at the end of the list using tail reference and make the new node as tail.

Delete at the Start : Delete a node from beginning of the linked list and make the head points to the 2nd node in the list. Its O(1).

Get Size: returns the size of the linked list.

Get Element at Index : Return the element at specific index, if index is greater than the size then return –1. its O(n) in worst case.

Print: Prints the entire linked list. O(n).

Complete Code:

Output:

Adding Node 2 at the start
Adding Node 1 at the start
Doubly Linked List: 1 2
Adding Node 3 at the End
Doubly Linked List: 1 2 3
Adding node after 2
Doubly Linked List: 1 2 4 3
deleting node 1 from start
Doubly Linked List: 2 4 3
Element at index 2: 4
Adding Node 1 at the start
Doubly Linked List: 1 2 4 3
deleting node 3 from end
Doubly Linked List: 1 2 4
Size of the Linked List: 3

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If you find anything incorrect or you feel that there is any better approach to solve the above problem, please write comment.
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Thank you for this precious resource. But I have two questions.
1. Can you tell me why you declare the type of these method “Node” and you are returning n in these methods addAtStart, addAtEnd, addAfter?
2. Don’t we declare these methods types void?

tutorialhorizon

Yes you can, it’s just a way u implement it. In the code we are just passing the integer and we are creating a node inside the function ,Sometimes you might need the reference of that node to be used so instead of traversing all the nodes, it’s good to have a reference back from the function.

❤ Çell_O_hõliç.. ツ

Could you please tell me what is the actual role of ‘return n’ in these methods?

❤ Çell_O_hõliç.. ツ

Just wow for your logic! I just dirty my hands and at the end I realize what you did in your code that’s awesome! I will say “just wow”!

Wxu

Thank for the tutorial. But I think return a Node type is a bug here. The “Node” type should not be exposed to outside, otherwise imagine:

DoublyLinkedList d = new DoublyLinkedList();
Node x = d.addAtStart(2);
DoublyLinkedList d2 = new DoublyLinkedList();
d2.addAfter(10, x);

This will add a node into d, without change the members of d.
Meanwhile, d2 keeps empty.

In a word, I think the type Node must be hidden inside DoublyLinkedList…

Aezraar Vani

Hi, Can anyone post a solution for this please :
“Replace kth node from beginning with kth node from end in case of a doubly linked list”
Either in java or in c.