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DSA•Linked Lists

DSA Linked Lists Types

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DSA Linked Lists Types

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Types of Linked Lists

There are three basic forms of linked lists:

Singly linked lists

Doubly linked lists

Circular linked lists

A singly linked list is the simplest kind of linked lists. It takes up less space in memory because each node has only one address to the next node, like in the image below. A doubly linked list has nodes with addresses to both the previous and the next node, like in the image below, and therefore takes up more memory. But doubly linked lists are good if you want to be able to move both up and down in the list. A circular linked list is like a singly or doubly linked list with the first node, the "head", and the last node, the "tail", connected. In singly or doubly linked lists, we can find the start and end of a list by just checking if the links are null. But for circular linked lists, more complex code is needed to explicitly check for start and end nodes in certain applications. Circular linked lists are good for lists you need to cycle through continuously. The image below is an example of a singly circular linked list: The image below is an example of a doubly circular linked list:

Note:

What kind of linked list you need depends on the problem you are trying to solve.

Linked List Implementations

Below are basic implementations of:

Singly linked list

Doubly linked list

Circular singly linked list

Circular doubly linked list

The next page will cover different operations that can be done on linked lists.

  1. Singly Linked List Implementation Below is an implementation of this singly linked list:

Example

A basic singly linked list in Python: (This is the same example as on the bottom of the previous page.) class Node:

def __init__(self, data):

Formula

self.data = data self.next = None

Formula

node1 = Node(3)
node2 = Node(5)
node3 = Node(13)
node4 = Node(2)

Formula

node1.next = node2 node2.next = node3 node3.next = node4

Formula

currentNode = node1 while currentNode:
print(currentNode.data, end=" -> ")
currentNode = currentNode.next print("null")
  1. Doubly Linked List Implementation Below is an implementation of this doubly linked list:

Example

A basic doubly linked list in Python: class Node:

def __init__(self, data):

Formula

self.data = data self.next = None self.prev = None

Formula

node1 = Node(3)
node2 = Node(5)
node3 = Node(13)
node4 = Node(2)

Formula

node1.next = node2

Formula

node2.prev = node1 node2.next = node3

Formula

node3.prev = node2 node3.next = node4

Formula

node4.prev = node3
print("\nTraversing forward:")

Formula

currentNode = node1 while currentNode:
print(currentNode.data, end=" -> ")
currentNode = currentNode.next print("null")
print("\nTraversing backward:")

Formula

currentNode = node4 while currentNode:
print(currentNode.data, end=" -> ")
currentNode = currentNode.prev print("null")
  1. Circular Singly Linked List Implementation Below is an implementation of this circular singly linked list:

Example

A basic circular singly linked list in Python: class Node:

def __init__(self, data):

Formula

self.data = data self.next = None

Formula

node1 = Node(3)
node2 = Node(5)
node3 = Node(13)
node4 = Node(2)

Formula

node1.next = node2 node2.next = node3 node3.next = node4 node4.next = node1
currentNode = node1 startNode = node1 print(currentNode.data, end=" -> ")

Formula

currentNode = currentNode.next

while currentNode != startNode:

print(currentNode.data, end=" -> ")

Formula

currentNode = currentNode.next
print("...")

Line 14:

This makes the singly list circular.

Line 17:

This is how the program knows when to stop so that it only goes through the list one time.

  1. Circular Doubly Linked List Implementation Below is an implementation of this circular doubly linked list:

Example

A basic circular doubly linked list in Python: class Node:

def __init__(self, data):

Formula

self.data = data self.next = None self.prev = None

Formula

node1 = Node(3)
node2 = Node(5)
node3 = Node(13)
node4 = Node(2)

Formula

node1.next = node2 node1.prev = node4

Formula

node2.prev = node1 node2.next = node3

Formula

node3.prev = node2 node3.next = node4

Formula

node4.prev = node3 node4.next = node1
print("\nTraversing forward:")
currentNode = node1 startNode = node1 print(currentNode.data, end=" -> ")

Formula

currentNode = currentNode.next

while currentNode != startNode:

print(currentNode.data, end=" -> ")
currentNode = currentNode.next print("...")
print("\nTraversing backward:")
currentNode = node4 startNode = node4 print(currentNode.data, end=" -> ")

Formula

currentNode = currentNode.prev

while currentNode != startNode:

print(currentNode.data, end=" -> ")
currentNode = currentNode.prev print("...")

Lines 13 and 22:

These links makes the doubly linked list circular.

Lines 26:

This is how the program knows when to stop so that it only goes through the list one time.

DSA Exercises

Test Yourself With Exercises

Exercise:

Take a look at this singly Linked List: How can we make this Linked List circular? The list can be made circular by connecting the next pointer in the last node, to the node. Submit Answer »

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DSA Linked Lists Operations