Doubly Linked List

The doubly linked list is an extension of the linked list in which we have two pointer variables so that we can traverse in back-and-forth directions. It contains two pointers conventionally named next and prev . In next , we store the address or object of the next element or node, and in prev, we store the address of the previous object. Doubly Linked List

Like a simple linked list, the doubly linked list also stores its element sequentially, so if we want to visit the last element, first, we would have to traverse through all other nodes.

Some important terminologies of doubly linked lists are:

  • Node: A node is a collection of data values and two pointers next and prev.
  • Next: Next is a pointer that will hold the address or object of the sequential next node.
  • Prev: Prev is a pointer that holds the address or object of the previous node.

Doubly Linked List (DLL) Representation

  • The first node of the doubly linked list is a head node, and the prev pointer will hold the Null value.
  • Each node of the doubly linked list will contain a data value and two pointers.
  • The next pointer will hold the address of the next node.
  • The last node’s prev variable will contain a Null value.

DLL Basic Operations

Here are some operations which we can apply on a Doubly linked list:

  • Insertion
  • Deletion
  • Insert Last
  • Delete last
  • Insert After
  • Forward Traversing
  • Backward Traversing

Advantages and Disadvantages of DLL

Advantages

  • With the doubly linked list, we can transverse back and forth directions.
  • The insertion and deletion operations on the doubly linked list are easier. Unlike a simple linked list, here, we do not need to traverse to the predecessor node and store its reference. Rather, in a doubly-linked list, the reference of the predecessor node can be retrieved from the node that we want to delete.

Disadvantages

  • Each node requires two variables, which require more memory.
  • We have to manage both pointers to make an effective doubly-linked list data structure.

Doubly-Linked-List Implementation

Python

class Node:
    def __init__(self, next=None, prev=None, data=None):
        self.next = next
        self.prev = prev
        self.data = data
class DoublyLinkedList:
    def __init__(self):
        self.head = None 
    def Inset_at_Beginning(self, data):
        new_node = Node(data = data)
        new_node.next = self.head
        new_node.prev = None 
        if self.head is not None:
            self.head.prev = new_node
        self.head = new_node 
    def Insert_at_Middle(self, prev, data):  
        if prev is None:
            print("No such node")
            return
        new_node = Node(data = data)  
        new_node.next = prev.next
        prev.next = new_node
        new_node.prev = prev
        if new_node.next is not None:
            new_node.next.prev = new_node
    def Insert_at_End(self, data):
        new_node = Node(data = data)
        last = self.head
        new_node.next = None
        if self.head is None:
            new_node.prev = None
            self.head = new_node
            return
        while (last.next is not None):
            last = last.next
        last.next = new_node
        new_node.prev = last
    def delete_list_element (self, data):
        if self.head is None:
            print("list has no element to delete")
            return
        if self.head.next is None:
            if self.head.item == data:
                self.head = None
            else:
                print("Item not found")
            return
        if self.head.data == data:
            self.head = self.head.next
            self.head.prev = None
            return
        n = self.head
        while n.next is not None:
            if n.data ==data:
                break;
            n = n.next
        if n.next is not None:
            n.prev.next = n.next
            n.next.prev = n.prev
        else:
            if n.data == data:
                n.prev.next = None
            else:
                print("Element not found")
    def Traverse_complete_llist(self):
        if self.head is None:
            print("List has no element")
            return
        else:
            n = self.head
            while n is not None:
                print(n.data , " ")
                n = n.next

Conclusion

Unlike a singly linked list, a doubly linked list allows both directions to traverse, which offers efficient operations for both forward and backward navigation. It ensures efficiency and functionality for programmers.

We hope that the above-mentioned information regarding doubly linked lists, their representation, and their advantages and disadvantages are clear to you.

Good luck!

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