Doubly linked list insert at position Python

Doubly Linked List

Abhishek Kumar Category: Data Structures Tags: datastructures linkedlist

A Doubly Linked List is a linear data structure which collectively represents a sequence of data in which each node has three parts.
In this tutorial, we will learn about the implementation of a doubly linked list and various operations on it like insertion, deletion and traversal of a Doubly Linked List and it's advantages and disadvantages over Singly Linked List.

Doubly linked list insert at position Python

Table of contents

  • Declaration of type node for Doubly Linked List
  • Traversing the Doubly Linked List
  • Reverse traversing of the Doubly Linked List
  • Length of a Doubly Linked List
  • Insertion in a Doubly Linked List
    1. Insertion at the begining of the Doubly Linked List
    2. Insertion at the end of the Doubly Linked List
    3. Insertion at given position in the Doubly Linked List
  • Deletion in a Doubly Linked List
    1. Deletion from the begining of the Doubly Linked List
    2. Deletion from the end of the Doubly Linked List
    3. Deletion from given position in the Doubly Linked List
  • Implementation of Doubly Linked List
  • Advantages of Doubly Linked List over Singly Linked List
  • Disadvantages of Doubly Linked List over Singly Linked List

A Doubly Linked List is a collection of nodes in which each node has three parts i.e, pointer to previous node, data and pointer to next node and last node points to null.

Doubly linked list insert at position Python

Declaration of type node for Doubly Linked List

We have to create a data structure or Node which contains three part i.e, first part contains address of previous node, second part contains data of the node and third node contains address of next pointer. We can create this by using user defined data type (depends on the programming language used).

Doubly linked list insert at position Python
  • Python
  • JavaScript
class Node: def __init__(self, data): self.prev = None self.data = data self.next = None
class Node { constructor(data) { this.prev = null; this.data = data; this.next = null; } }

Traversing the Doubly Linked List

Traversing means visiting all the node once i.e, we want to read all the data available in the doubly linked list.
We can do so by visiting all the nodes one by one and reading the data available in each node.

Simply, use a temporary variable and initialize it with the head node so that we can start with the begining of the list and then go through all the nodes one by one till the last node is reached. And we can get the last node by checking the next value of node i.e., if next value of node is null then this is the end of node.

Doubly linked list insert at position Python
  • Python
  • JavaScript
def traverse(self): if self.head: temp = self.head while temp: print(temp.data) temp = temp.next else: print(None)
traverse() { if (this.head) { let temp = this.head; while (temp) { console.log(temp.data); temp = temp.next; } } else { console.log(null); } }

Reverse traversing of the Doubly Linked List

Reverse traversing means visiting all the node once from the backward direction i.e, we want to read all the data available in the doubly linked list from the tail.
We can do so by visiting all the nodes one by one and reading the data available in each node.

Simply, use a temporary variable and initialize it with the tail node so that we can start with the end of the list and then go through all the nodes one by one till the first node is reached. And we can get the first node by checking the next value of node i.e., if next value of node is null then this is the begining of node.

Doubly linked list insert at position Python
  • Python
  • JavaScript
def reverse_traverse(self): if self.tail: temp = self.tail while temp: print(temp.data) temp = temp.prev else: print(None)
reverseTraverse() { if (this.tail) { let temp = this.tail; while (temp) { console.log(temp.data); temp = temp.prev; } } else { console.log(null); } }

Length of a Doubly Linked List

To find length of a linked list we can simply use a temporary variable and initialize it by assigning the head node. Now, move it to every node one by one and increase the counter variable.

Doubly linked list insert at position Python
  • Python
  • JavaScript
def length(self): temp = self.head count = 0 while temp: count += 1 temp = temp.next return count
length() { let temp = this.head; let count = 0; while (temp) { count++; temp = temp.next; } return count; }

Insertion in a Doubly Linked List

Insertion in a Linked List can be done in following three ways:

  1. Insertion at the begining
  2. Insertion at the end
  3. Insertion at given position
Insertion at the begining of the Doubly Linked List

While inserting a node at the begining position, two situation may arise:

  1. Insertion when Doubly Linked List is emtpy: In this case we can simply create a new node and put the value in data part, null into the next part and previous part (which is already done in Class Node constructor) then assign it to the head.
  2. Insertion when Doubly Linked List is not empty: In this case create a new node, add value into the data part and assign the node pointed by the head (current starting node) to next of newly created node and then head will now point to new node and null into the previous part (which is already done in Class Node constructor)
  3. Doubly linked list insert at position Python
  • Python
  • JavaScript
def insert_at_start(self, data): new_node = Node(data) if not self.head: self.head = new_node self.tail = new_node else: new_node.next = self.head self.head.prev = new_node self.head = new_node
insertAtStart(data) { const newNode = new Node(data); if (!this.head) { this.head = newNode; this.tail = newNode; } else { newNode.next = this.head; this.head.prev = newNode; this.head = newNode; } }
Insertion at the end of the Doubly Linked List

While inserting a node at the end position, two situation may arise:

  1. Insertion when Doubly Linked List is emtpy: In this case we can simply create a new node and put the value in data part, null into the next part and previous part (which is already done in Class Node constructor) then assign it to the head.
  2. Insertion when Doubly Linked List is not empty: In this case create a new node, and then assign it to the next part of tail node then tail should point to the newly created node.
  3. Doubly linked list insert at position Python
  • Python
  • JavaScript
def insert_at_end(self, data): new_node = Node(data) if not self.head: self.head = new_node self.tail = new_node else: new_node.prev = self.tail self.tail.next = new_node self.tail = new_node
insertAtEnd(data) { const newNode = new Node(data); if (!this.head) { this.head = newNode; this.tail = newNode; } else { newNode.prev = this.tail; this.tail.next = newNode; this.tail = newNode; } }
Insertion at given position in the Doubly Linked List

While inserting at any given position following 3 situation may arise based on user input:

  1. Insertion at the begining: In this case, simply call the function used to insert at begining.
  2. Insertion at the end: In this case, simply call the function used to insert at the end.
  3. Insertion at any random position: In this case, use a temporary variable and initialize with the head pointer traverse till the given position - 1 and then insert the new node by adjusting the previous and next pointer.
  4. Doubly linked list insert at position Python
  • Python
  • JavaScript
def insert_at_position(self, pos, data): new_node = Node(data) if pos < 0 or pos > self.length(): raise Exception('Enter a valid postion') else: if pos == 0: self.insert_at_start(data) elif pos == self.length()-1: self.insert_at_end(data) else: temp = self.head for _ in range(pos-1): temp = temp.next new_node.next = temp.next temp.next = new_node new_node.prev = temp
insertAtPosition(pos, data) { const newNode = new Node(data); if (pos < 0 || pos > this.length()) { throw "Enter a valid position"; } else { if (pos == 0) { this.insertAtStart(data); } else if (pos == this.length() - 1) { this.insertAtEnd(data); } else { let temp = this.head; for (let i = 0; i < pos - 1; i++) { temp = temp.next; } newNode.next = temp.next; temp.next = newNode; newNode.prev = temp; } } }

Deletion in a Doubly Linked List

Same as insertion deletion in a Linked List can be done in 3 ways:

  1. Deletion from the begining of the Doubly Linked List
  2. Deletion from the end of the Doubly Linked List
  3. Deletion from given position in the Doubly Linked List
Deletion from the begining of the Doubly Linked List

While deleting a node at the from begining, two situation may arise:

  1. Deletion when Linked List is emtpy: When Linked List is empty throw an error that Linked List is empty.
  2. Deletion when Linked List is not empty: Again, two cases may arise if linked list is not empty
    1. If only one node is present: In this case, delete that node and set head and tail as null
    2. If multiple nodes are present: Then shift the head pointer to next node and set null to the new previous part of new head node.
    For languages like Python, Java etc. which have in built mechanism for garbage collection, can remove the deleted node itself but in case of languages like C or C++ we have to point that node and remove it manually.
  3. Doubly linked list insert at position Python
  • Python
  • JavaScript
def delete_from_start(self): if self.head: if self.head is self.tail: data = self.head.data self.head = self.tail = None else: data = self.head.data self.head = self.head.next self.head.prev = None return data else: raise Exception('Empty linked list')
deleteFromStart() { if (this.head) { let data; if (this.head === this.tail) { data = this.head.data; this.head = this.tail = null; } else { data = this.head.data; this.head = this.head.next; this.head.prev = null; } return data; } else { throw "Empty Linked List"; } }
Deletion from the end of the Doubly Linked List

While deleting a node at the from the end, two situation may arise:

  1. Deletion when Linked List is emtpy: Again two cases may arise if linked list is not empty
  2. Deletion when Linked List is not empty: Again two cases may arise if linked list is not empty
    1. If only one node is present: In this case, delete that node and set head and tail as null
    2. If multiple nodes are present: Then shift the tail node to the previous node and set null to the next part of new tail node.
    For languages like Python, Java etc. which have in built mechanism for garbage collection, can remove the deleted node itself but in case of languages like C or C++ we have to point that node and remove it manually.
  3. Doubly linked list insert at position Python
  • Python
  • JavaScript
def delete_from_end(self): if self.head: if self.head is self.tail: data = self.head.data self.head = self.tail = None else: data = self.tail.data self.tail = self.tail.prev self.tail.next = None return data else: raise Exception('Empty linked list')
deleteFromEnd() { if (this.head) { let data; if (this.head === this.tail) { data = this.head.data; this.head = this.tail = null; } else { data = this.tail.data; this.tail = this.tail.prev; this.tail.next = null; } return data; } else { throw "Empty Linked List"; } }
Deletion from given position in the Doubly Linked List

While deleting at any given position following 3 situation may arise based on user input:

  1. Deletion from the begining: In this case, simply call the function used to delete from begining.
  2. Deletion from the end: In this case, simply call the function used to delete from the end.
  3. Deletion from any random position: In this case, use a temporary variable and initialize with the head pointer and traverse till the given node is reached by the given position and adjust the next and previous pointers of the nodes situated after and before this node.
  4. For languages like Python, Java etc. which have in built mechanism for garbage collection, can remove the deleted node itself but in case of languages like C or C++ we have to point that node and remove it manually.
    Doubly linked list insert at position Python
  • Python
  • JavaScript
def delete_at_position(self, pos): if pos < 0 or pos >= self.length(): raise Exception('Enter a valid postion') else: if pos == 0: return self.delete_from_start() elif pos == self.length()-1: return self.delete_from_end() else: temp = self.head for _ in range(pos): temp = temp.next data = temp.data prev_node = temp.prev prev_node.next = temp.next temp.next.prev = prev_node return data
deleteAtPosition(pos) { if (pos < 0 || pos >= this.length()) { throw "Enter a valid position"; } else { if (pos == 0) { return this.deleteFromStart(); } else if (pos === this.length() - 1) { return this.deleteFromEnd(); } else { let temp = this.head; for (let i = 0; i < pos; i++) { temp = temp.next; } const data = temp.data; const prevNode = temp.prev; prevNode.next = temp.next; temp.next.prev = prevNode; return data; } } }

Implementation of Doubly Linked List

Implementation of singly linked list linked list with all the function combined with output.

  • Python
  • JavaScript
class Node: def __init__(self, data): self.prev = None self.data = data self.next = None class DoublyLinkedList: def __init__(self): self.head = None self.tail = None def insert_at_start(self, data): new_node = Node(data) if not self.head: self.head = new_node self.tail = new_node else: new_node.next = self.head self.head.prev = new_node self.head = new_node def insert_at_end(self, data): new_node = Node(data) if not self.head: self.head = new_node self.tail = new_node else: new_node.prev = self.tail self.tail.next = new_node self.tail = new_node def insert_at_position(self, pos, data): new_node = Node(data) if pos < 0 or pos > self.length(): raise Exception('Enter a valid postion') else: if pos == 0: self.insert_at_start(data) elif pos == self.length()-1: self.insert_at_end(data) else: temp = self.head for _ in range(pos-1): temp = temp.next new_node.next = temp.next temp.next = new_node new_node.prev = temp def delete_from_start(self): if self.head: if self.head is self.tail: data = self.head.data self.head = self.tail = None else: data = self.head.data self.head = self.head.next self.head.prev = None return data else: raise Exception('Empty linked list') def delete_from_end(self): if self.head: if self.head is self.tail: data = self.head.data self.head = self.tail = None else: data = self.tail.data self.tail = self.tail.prev self.tail.next = None return data else: raise Exception('Empty linked list') def delete_at_position(self, pos): if pos < 0 or pos >= self.length(): raise Exception('Enter a valid postion') else: if pos == 0: return self.delete_from_start() elif pos == self.length()-1: return self.delete_from_end() else: temp = self.head for _ in range(pos): temp = temp.next data = temp.data prev_node = temp.prev prev_node.next = temp.next temp.next.prev = prev_node return data def get_first(self): if self.head: return self.head.data else: raise Exception('Linked List is empty') def get_last(self): if self.tail: return self.tail.data else: raise Exception('Linked List is empty') def traverse(self): if self.head: temp = self.head while temp: print(temp.data) temp = temp.next else: print(None) def reverse_traverse(self): if self.tail: temp = self.tail while temp: print(temp.data) temp = temp.prev else: print(None) def length(self): temp = self.head count = 0 while temp: count += 1 temp = temp.next return count dll = DoublyLinkedList() dll.insert_at_end(1) dll.insert_at_end(2) dll.insert_at_end(3) dll.insert_at_end(4) dll.insert_at_end(5) dll.insert_at_end(6) dll.traverse()
class Node { constructor(data) { this.prev = null; this.data = data; this.next = null; } } class DoublyLinkedList { constructor() { this.head = null; this.tail = null; } insertAtStart(data) { const newNode = new Node(data); if (!this.head) { this.head = newNode; this.tail = newNode; } else { newNode.next = this.head; this.head.prev = newNode; this.head = newNode; } } insertAtEnd(data) { const newNode = new Node(data); if (!this.head) { this.head = newNode; this.tail = newNode; } else { newNode.prev = this.tail; this.tail.next = newNode; this.tail = newNode; } } insertAtPosition(pos, data) { const newNode = new Node(data); if (pos < 0 || pos > this.length()) { throw "Enter a valid position"; } else { if (pos == 0) { this.insertAtStart(data); } else if (pos == this.length() - 1) { this.insertAtEnd(data); } else { let temp = this.head; for (let i = 0; i < pos - 1; i++) { temp = temp.next; } newNode.next = temp.next; temp.next = newNode; newNode.prev = temp; } } } deleteFromStart() { if (this.head) { let data; if (this.head === this.tail) { data = this.head.data; this.head = this.tail = null; } else { data = this.head.data; this.head = this.head.next; this.head.prev = null; } return data; } else { throw "Empty Linked List"; } } deleteFromEnd() { if (this.head) { let data; if (this.head === this.tail) { data = this.head.data; this.head = this.tail = null; } else { data = this.tail.data; this.tail = this.tail.prev; this.tail.next = null; } return data; } else { throw "Empty Linked List"; } } deleteAtPosition(pos) { if (pos < 0 || pos >= this.length()) { throw "Enter a valid position"; } else { if (pos == 0) { return this.deleteFromStart(); } else if (pos === this.length() - 1) { return this.deleteFromEnd(); } else { let temp = this.head; for (let i = 0; i < pos; i++) { temp = temp.next; } const data = temp.data; const prevNode = temp.prev; prevNode.next = temp.next; temp.next.prev = prevNode; return data; } } } getFirst() { if (this.head) return this.head.data; throw "Linked List is empty"; } getLast() { if (this.tail) return this.tail.data; throw "Linked List is empty"; } traverse() { if (this.head) { let temp = this.head; while (temp) { console.log(temp.data); temp = temp.next; } } else { console.log(null); } } reverseTraverse() { if (this.tail) { let temp = this.tail; while (temp) { console.log(temp.data); temp = temp.prev; } } else { console.log(null); } } length() { let temp = this.head; let count = 0; while (temp) { count++; temp = temp.next; } return count; } } const dll = new DoublyLinkedList(); dll.insertAtEnd(1); dll.insertAtEnd(2); dll.insertAtEnd(3); dll.insertAtEnd(4); dll.insertAtEnd(5); dll.insertAtEnd(6); dll.traverse();

Output

Output

1 2 3 4 5 6

Advantages of Doubly Linked List over Singly Linked List

  1. Doubly Linked List can be traversed in both (forward and backward) directions
  2. Only single temporary variable required for deletetion of a node

Disadvantages of Doubly Linked List over Singly Linked List

  1. Every node required an extra space for previous pointer
  2. All operations take some time to adjust previous pointer

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AUTHOR

Doubly linked list insert at position Python

Abhishek Kumar

Software engineer | Blogger | Keen learner
Python | Django | JavaScript | React | Next.js | Express.js | C
Passionate about learning and experimenting with new things and open to more opportunities and collaborations.

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