×

What is Skewed Binary Tree

To understand the skewed binary tree, we must first understand the concept of a binary tree. A binary is generally the one in which every single node has two further nodes which we also call the child of the nodes because they are enrooting from them. They are also termed as the left child or the right child depending upon the direction of the node. They are most probably implemented with the help of pointers. Now coming to the skewed binary tree, what it is? What use does it portray? We will answer all of these questions in detail in this article.

The skewed binary tree is a typical binary tree with the exception that each and every node of this tree either contains a single child or no child at all. It basically is a subset of the binary tree where there is less requirement of the node implying, we can create the tree with one node or no node at all. Sometimes in this, only one node consists of one and only one child and the rest of the nodes don’t contain any child. These properties should be satisfied when we are figuring or constructing a skewed binary tree.

HOW TO IMPLEMENT IT?

In this section, we will see a basic algorithm where we will be applying the skewed binary tree:-

struct Node{
int num;
struct node *left, *right;
}
Node* newNode(int num) {
Node* J = new node;
J - > num = num;
J - > left = J - > right = NULL;
return(J);
}

TYPES OF SKEWED BINARY TREE

On the basis of the direction of the nodes, the skewed binary tree can be divided into two categories:-

  • LEFT SKEWED BINARY TREE

    If all the child nodes coming from the parent nodes are headed or pointed in a left direction then they are called the left-skewed binary tree. It then turns out to be the left-sided influenced tree in which the right ones remain null.
    Let us understand the implementation and working of the same in a more precise manner.
#include < bits/stdc++.h >
Using namespace std;
// In this, we are creating a tree 
Struct Node {
int store;
struct Node *left, *right;
} ;
Node* newNode (int store)
{
Node* temp = new Node;
Temp - > store = store;
Temp - > left = temp - > right = NULL;
Return (temp);
}
int main ( )
{
/ *
4
/
8
/
3
*/ 
Node* root = newNode(4);
Root - > left = newNode(8);
Root - > left - > left = newNode(3);
return 0;
}

Output:

WHAT IS A SKEWED BINARY TREE?
  • RIGHT SKEWED BINARY TREE

    If all the child nodes coming from the parent nodes are headed or pointed in the right direction then they are called the right-skewed binary tree. It then turns out to be the right-sided influenced tree in which the left ones remain null.

    Let us understand the implementation and working of right skewed binary tree in a more precise manner
#include < bits/stdc++.h >
Using namespace std;
// In this, we are creating a tree 
Struct Node {
int store;
struct Node *left, *right;
} ;
Node* newNode (int store)
{
Node* temp = new Node;
Temp - > store = store;
Temp - > left = temp - > right = NULL;
Return (temp);
}
int main ( )
{
/ *
4
\
8
\
3
*/ 
Node* root = newNode(4);
Root - > right = newNode(8);
Root - > right - > right = newNode(3);
return 0;
}

Output:

WHAT IS A SKEWED BINARY TREE?

ADVANTAGES OF SKEWED BINARY TREE

  1. They are known for their systematic nature.
  2. If we maintain and keep a balance between the various functions, deletion and insertion operations provide rather quick results as compared to others.
  3. They are very basic or simple and easy to maintain as compared to the rest of the trees in data structures.

DISADVANTAGES OF SKEWED BINARY TREE

  1. In complex cases, it takes a very large amount of time in searching and therefore provides the result.
  2. It easily gets degenerated which is why it can increase the complexity and work of the algorithm.
  3. Approaching the element becomes difficult in this type as compared to arrays.

Related Topics

Data Structure Prefix to Postfix Conversion

Prefix to Postfix Conversion Prefix: As the name suggests if the operator placed before the operands called the prefix expression.  The form of prefix expression is (operator, operand1, operand2). Example:  *+EF-GH (Infix:...

2 minutes read.

Hashing and its Applications

Hashing Hashing refers to transforming plain text data in such a way that even if it is leaked for some reason, no one would be able to make sense of it....

6 minutes read.

B Tree vs B + Tree: Data Structure

Difference Between B Tree and B+ Tree What is B Tree? B-Tree is a self-balancing or special type of m-way tree. B-Trees are used mainly in disc access. If we want...

3 minutes read.

Heap Sort vs Merge Sort

In this article, we are going to discuss the Heap Sort, Merge sort and the difference between them. What is Heap Sort? Heap – A heap is an abstract data type categorised...

7 minutes read.

Pairwise swap elements of a given linked list

Pairwise swap elements of a given linked list In this problem, we have given a linked list, and we need to pairwise swap elements of the given linked list. Example:                                     Input:1 ->3...

4 minutes read.

Shell Sort

Shell Sort: Shell sort is a sorting algorithm. It is an extended version of the insertion sort. In this sorting, we compare the elements that are distant apart rather than the...

5 minutes read.

Linear vs Non-Linear: Data Structure

What is Linear Data Structure? The data structure is said to be linear if the data elements are arranged linearly or we can say sequentially. In the linear data structure, the...

3 minutes read.

Compare Balanced Binary Tree and Complete Binary Tree

Complete and balanced binary trees are important and general topics in the concept – Tree data structure. Before discussing the complete and balanced binary tree, we need to have an...

8 minutes read.

Counts the number of times a given element occurs in a Linked List

Counts the number of times a given element occurs in a Linked List This article will explain how we can count the occurrences of a particular element in a list. Here,...

3 minutes read.

Insertion Sort in Data Structures

Insertion Sort in C++ Insertion sort is a sorting algorithm that, in each iteration, installs an unsorted element in its proper position Insertion sort operates in a similar way to how we...

3 minutes read.

Finding Rank in a Binary Search Tree

Implementation // writing a C++ program to find out the rank and element in the program.  #include <bits/stdc++.h> using namespace std; struct __nod { int record; __nod *Lft, *Rt; int LftSize; }; __nod* new__nod(int record) { __nod *temp = new __nod; temp->record...

6 minutes read.

Sort the linked list of 0s, 1s and 2s

Sort the linked list of 0s, 1s and 2s In this, we are given a linked list of 0s, 1s, and 2s, and we need to sort it. Examples: Input: 1  ->  1 ...

2 minutes read.

What is a Height-Balanced Tree in Data Structure

A height-balanced tree is a type of binary tree. If the absolute difference between the heights of the left and right subtree is less than or equal to 1, then...

6 minutes read.

Insertion Sort vs Selection Sort

In this article, we will discuss insertion sort, Selection sort and the basic differences between these two sorting techniques in detail: What is Insertion Sort? Insertion Sort – The insertion sort is...

5 minutes read.

Stack vs Array

Difference between Array and Stack In this article, we are going to discuss the major differences between the stack and array data structures: Array – In the data structure, the array is...

3 minutes read.

What is a 2-3 Tree in Data Structure?

Tree Data structure The information about the tree is self-explanatory. Trees are ordered and, therefore, not linear. But they are actually designed differently. Tree A node-based data model that represents and...

5 minutes read.

Linear Queue VS Circular Queue

What is Queue? A queue is one of the important linear data structures extensively used in various computer applications. It is based on the FIFO (First In First Out) principle. It...

9 minutes read.

Delete the Middle element of the Linked List in C

Delete the Middle element of the Linked List in C This article has given a singly linked list and will delete the middle element of the given linked list. Example:  The given...

3 minutes read.

Given Two Binary Trees, Check if it is Symmetric

Implementation // creating a C++ program that will help us check whether the two given trees are mirror images of each other.  #include<bits/stdc++.h> using namespace std; /* A given binary tree has a data...

5 minutes read.

Fundamental of Algorithms

An algorithm is a part of any programming solution or coding. If we have to make a solution then first we have to think of a clear idea about the...

13 minutes read.