Computer Science Engineering (CSE) Exam > Computer Science Engineering (CSE) Notes > Programming and Data Structures > Types of Binary Trees
Types of Binary Trees | Programming and Data Structures - Computer Science Engineering (CSE) PDF Download
The following are common types of Binary Trees:
- Full Binary Tree: A Binary Tree is a full binary tree if every node has 0 or 2 children. The following are the examples of a full binary tree. We can also say a full binary tree is a binary tree in which all nodes except leaf nodes have two children.
- Complete Binary Tree: A Binary Tree is a Complete Binary Tree if all the levels are completely filled except possibly the last level and the last level has all keys as left as possible
The following are examples of Complete Binary Trees: - Perfect Binary Tree A Binary tree is a Perfect Binary Tree in which all the internal nodes have two children and all leaf nodes are at the same level.
The following are the examples of Perfect Binary Trees:In a Perfect Binary Tree, the number of leaf nodes is the number of internal nodes plus 1
L = I + 1 Where L = Number of leaf nodes, I = Number of internal nodes.
A Perfect Binary Tree of height h (where the height of the binary tree is the longest path from the root node to any leaf node in the tree, height of root node is 1) has 2h – 1 node.
An example of a Perfect binary tree is ancestors in the family. Keep a person at root, parents as children, parents of parents as their children. - Balanced Binary Tree: A binary tree is balanced if the height of the tree is O(Log n) where n is the number of nodes. For Example, the AVL tree maintains O(Log n) height by making sure that the difference between the heights of the left and right subtrees is at most 1. Red-Black trees maintain O(Log n) height by making sure that the number of Black nodes on every root to leaf paths is the same and there are no adjacent red nodes. Balanced Binary Search trees are performance-wise good as they provide O(log n) time for search, insert and delete.
- A degenerate (or pathological) tree: A Tree where every internal node has one child. Such trees are performance-wise same as linked list.
In a Perfect Binary Tree, the number of leaf nodes is the number of internal nodes plus 1
The document Types of Binary Trees | Programming and Data Structures - Computer Science Engineering (CSE) is a part of the Computer Science Engineering (CSE) Course Programming and Data Structures.
All you need of Computer Science Engineering (CSE) at this link: Computer Science Engineering (CSE)
|
119 docs|30 tests
|
FAQs on Types of Binary Trees - Programming and Data Structures - Computer Science Engineering (CSE)
| 1. What is a binary tree? |  |
A binary tree is a hierarchical data structure in which each node has at most two children, referred to as the left child and the right child. The binary tree follows a specific order, such as the binary search tree, where the left child is always less than the parent node, and the right child is always greater.
| 2. What are the different types of binary trees? | |
There are several types of binary trees, including:
- Full binary tree: A binary tree in which all nodes have either 0 or 2 children.
- Complete binary tree: A binary tree in which all levels, except possibly the last one, are completely filled, and all nodes are as left as possible.
- Perfect binary tree: A binary tree in which all internal nodes have exactly two children, and all leaves are at the same level.
- Balanced binary tree: A binary tree in which the left and right subtrees of every node differ in height by at most 1.
| 3. What is the height of a binary tree? | |
The height of a binary tree is the length of the longest path from the root to a leaf node. It represents the number of edges on the longest downward path from the root to a leaf.
| 4. How can we represent a binary tree in memory? | |
A binary tree can be represented in memory using various data structures. The most common representation is through linked nodes, where each node contains a value and pointers to its left and right children. Another representation is through an array, where the elements are stored in a specific order to maintain the binary tree structure.
| 5. What is the time complexity of searching a node in a binary tree? | |
The time complexity of searching a node in a binary tree depends on the type of binary tree and its structure. In a balanced binary tree, such as an AVL tree or a red-black tree, the time complexity for searching is O(log n), where n is the number of nodes in the tree. However, in an unbalanced binary tree, the time complexity can be as bad as O(n), where n is the number of nodes in the tree.
Related Exams
About this Document
|
4.95/5 Rating |
|
Dec 23, 2024 Last updated |
Document Description: Types of Binary Trees for Computer Science Engineering (CSE) 2024 is part of Programming and Data Structures preparation.
The notes and questions for Types of Binary Trees have been prepared according to the Computer Science Engineering (CSE) exam syllabus. Information about Types of Binary Trees covers topics
like and Types of Binary Trees Example, for Computer Science Engineering (CSE) 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises and tests below for Types of Binary Trees.
Introduction of Types of Binary Trees in English is available as part of our Programming and Data Structures
for Computer Science Engineering (CSE) & Types of Binary Trees in Hindi for Programming and Data Structures course.
Download more important topics related with notes, lectures and mock test series for Computer Science Engineering (CSE)
Exam by signing up for free. Computer Science Engineering (CSE): Types of Binary Trees | Programming and Data Structures - Computer Science Engineering (CSE)
Description
Full syllabus notes, lecture & questions for Types of Binary Trees | Programming and Data Structures - Computer Science Engineering (CSE) - Computer Science Engineering (CSE) | Plus excerises question with solution to help you revise complete syllabus for Programming and Data Structures | Best notes, free PDF download
Information about Types of Binary Trees
In this doc you can find the meaning of Types of Binary Trees defined & explained in the simplest way possible. Besides explaining types of
Types of Binary Trees theory, EduRev gives you an ample number of questions to practice Types of Binary Trees tests, examples and also practice Computer Science Engineering (CSE)
tests
|
Explore Courses for Computer Science Engineering (CSE) exam
|
|
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
Related Searches
practice quizzes
,Types of Binary Trees | Programming and Data Structures - Computer Science Engineering (CSE)
,mock tests for examination
,past year papers
,study material
,Viva Questions
,Summary
,Previous Year Questions with Solutions
,Extra Questions
,Important questions
,shortcuts and tricks
,video lectures
,Types of Binary Trees | Programming and Data Structures - Computer Science Engineering (CSE)
,Types of Binary Trees | Programming and Data Structures - Computer Science Engineering (CSE)
,Free
,ppt
,Semester Notes
,Sample Paper
,MCQs
,Objective type Questions
,Exam
;
Additional Information about Types of Binary Trees for Computer Science Engineering (CSE) Preparation
Types of Binary Trees Free PDF Download
The Types of Binary Trees is an invaluable resource that delves deep into the core of the Computer Science Engineering (CSE) exam.
These study notes are curated by experts and cover all the essential topics and concepts, making your preparation more efficient and effective.
With the help of these notes, you can grasp complex subjects quickly, revise important points easily,
and reinforce your understanding of key concepts. The study notes are presented in a concise and easy-to-understand manner,
allowing you to optimize your learning process. Whether you're looking for best-recommended books, sample papers, study material,
or toppers' notes, this PDF has got you covered. Download the Types of Binary Trees now and kickstart your journey towards success in the Computer Science Engineering (CSE) exam.
Importance of Types of Binary Trees
The importance of Types of Binary Trees cannot be overstated, especially for Computer Science Engineering (CSE) aspirants.
This document holds the key to success in the Computer Science Engineering (CSE) exam.
It offers a detailed understanding of the concept, providing invaluable insights into the topic.
By knowing the concepts well in advance, students can plan their preparation effectively.
Utilize this indispensable guide for a well-rounded preparation and achieve your desired results.
Types of Binary Trees Notes
Types of Binary Trees Notes offer in-depth insights into the specific topic to help you master it with ease.
This comprehensive document covers all aspects related to Types of Binary Trees.
It includes detailed information about the exam syllabus, recommended books, and study materials for a well-rounded preparation.
Practice papers and question papers enable you to assess your progress effectively.
Additionally, the paper analysis provides valuable tips for tackling the exam strategically.
Access to Toppers' notes gives you an edge in understanding complex concepts.
Whether you're a beginner or aiming for advanced proficiency, Types of Binary Trees Notes on EduRev are your ultimate resource for success.
Types of Binary Trees Computer Science Engineering (CSE) Questions
The "Types of Binary Trees Computer Science Engineering (CSE) Questions" guide is a valuable resource for all aspiring students preparing for the
Computer Science Engineering (CSE) exam. It focuses on providing a wide range of practice questions to help students gauge
their understanding of the exam topics. These questions cover the entire syllabus, ensuring comprehensive preparation.
The guide includes previous years' question papers for students to familiarize themselves with the exam's format and difficulty level.
Additionally, it offers subject-specific question banks, allowing students to focus on weak areas and improve their performance.
Study Types of Binary Trees on the App
Students of Computer Science Engineering (CSE) can study Types of Binary Trees alongwith tests & analysis from the EduRev app,
which will help them while preparing for their exam. Apart from the Types of Binary Trees,
students can also utilize the EduRev App for other study materials such as previous year question papers, syllabus, important questions, etc.
The EduRev App will make your learning easier as you can access it from anywhere you want.
The content of Types of Binary Trees is prepared as per the latest Computer Science Engineering (CSE) syllabus.
|
© EduRev
|
Education Revolution
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup