Types of Linked List in Data Structures

From implementing stacks to storing abstract types of data, the linked lists carry the functions with the utmost efficiency.

 But, did you know that the linked lists can be categorized in terms of their structures also?  

Well, a linked list is typically the form of data structure that stores the elements in a series that do not have any correlation with their prior sequence. 

Read along till the end of this blog to learn more about linked lists while enhancing your knowledge base of the concepts of the first and last occurrences of x and how you can flatten a linked list

 

Types of linked lists in Data Structures

 

The types of linked lists that we have discussed below are based on the structure of the lists. But, that does not imply the fact that you cannot change or modify the structure of the linked lists. 

The beginner-level programmers should be aware of the fact that you can implement your own type of linked list as per the solution of the problem. 

With that said, there are typically four types of linked lists that are crucial for the study of data structure:

This structure of the linked list is used most often when it comes to implementing data for your solution. Typically if you are starting out with studying a linked list, more often than not it will be a singly-linked list. 

Every single node present in a doubly linked list consists of three different parts, i.e the data part and the two address parts of the node. Since it is a doubly linked list we can observe two different pointers, one of them will be pointing towards the previous node while the other will point towards the next one. 

You can state that each node in a circular linked list points to its next node. Due to this, we observe that the structure represents a circle because the last node stores the address for the very first node of the list.

Hence, this linked list also shares an extra pointer, and similar to the circular linked list the first and last nodes of this are joined too. You can navigate this list in two different directions much like the doubly linked list because of the presence of the pointer.

 

Flatten a linked list

 

In order to flatten a linked list, you can use the concept of Merge(). This concept effectively describes how you can create several smaller subproblems in order to solve a relatively bigger problem in a much faster process. 

Flattening a linked list basically relates to creating a series of lists by converting various linked lists into a singular unit. This way if you are trying to traverse through the list it will make it a lot easier now that they are in the format of a series. 

Coming back to the merge sort procedure, it basically breaks down a complicated problem into simpler problems which in return makes it easier to solve. 

In the end after attaining the solution, all you have to do is combine the solutions, and voila! There you will have a fully sorted solution for the complicated problem. 

Now we will look into a problem related to the first and last occurrences of x. 

 

First and last occurrences of x

 

Problem:

Search for 10 in the given array:

0 3  2    3   4  5   6

2 4 10 10 10 18 20 

Answer: So we can see from the above problem that 10 is present in indexes- 2, 3, and 4. And we have to find the first occurrence in the array. Later on, we’ll figure out the last occurrence. 

1st

10 is the mid occurrence in the array and we have to make sure that it is the first occurrence. 

Starting with the lowest and the highest occurrence:

0+6/2 = 3 (this is the mid occurrence) 

We have to find out if the left-hand side occurrences from 6 contain 10 as the first occurrence Or not. In order to find that we have to subtract high from mid. 

0+2/2 = 1 (mid) 

Now, start = mid+1 = 2

res= 2

So use the following syntax for finding the first occurrence:

int start = 0

int end = size-1

int res = -1

while (start <= end) 

2

   int mid = start + (end – start/2) 

if (end = mid) 

res = mid

end = mid – 1

elseif (end < mid) 

end = mid – 1

else 

start = mid – 1

You have to follow this syntax in order to find the first and the last occurrences as well. In the given problem we have to figure out whether 10 is present in the first and the last occurrence Or not. 

 

Steps for Implementing a Linked List In JavaScript

 

When you conclude what sort of linked list you wish to execute. You should adhere to a particular arrangement of directions to carry out it in JavaScript. The interaction incorporates particular advances and works that you really want to learn.

Learning these will likewise assist you in removing loop in linked list and resolve the painter’s partition problem.

The following are the steps for Implementing a Linked List In JavaScript

1: Create A Specific Function For Creating A New Node

2: Create Linked List Class

3: Add Insert And Print Method

4: Add Remove Method For Linked List Class

 

Example Problem 

 

Consider a problem on a singly linked list of nodes, where we would be given a linked list of integers, which may contain a cycle, remove the cycle if present.

For example, in the following linked list, we have a cycle in when remove loop in linked list should look like the following:

In order to solve the above problem we need to approach the following:

  1. Detect the cycle in the linked list and confirm whether it is even present or not.
  2. Remove the cycle if it is present in the linked list.

 

Conclusion

 

Wrapping up the above blog, we would suggest that if you are tackling a problem related to finding the first and last occurrences of x you might want to sort the list first and run the syntax. 

You can change the codes a bit to fit your assumptions from the array. But the basic structure should remain unchanged. Other than that we have discussed the types of linked lists in this blog. 

Finally, you will also find the method to flatten a linked list, which is by using the merge sort algorithm. 

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