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Here you can download the free Data Structures Pdf Notes – DS Notes Pdf latest and Old materials with multiple file links to download. Data Structures Notes Pdf – DS pdf Notes starts with the topics covering C Class Overview- Class Definition, Objects, Class Members, Access Control, Class Scope, Constructors and destructors, parameter passing methods, Inline functions, static class. Data Structures tutorial, covering all the basic and advanced topics of Data Structures with great concepts and shortest lessons. We have covered all the sorting algorithms and other data structures in the simplest possible manner.
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Data Structures Using C++ Pdf Notes
To be familiar with the basic techniques of object-oriented principles and exception handling using C++. Be familiar with the concepts of Inheritance, Polymorphism, Solve problems using data structures such as linear lists, stacks, queues, hash tables. Be familiar with advanced data structures such as balanced search trees, AVL Trees, and B Trees.
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List of Reference Books for Data Structures Using C++ – 2nd Year
- Data structures, Algorithms and Applications in C++, S.Sahni, University Press (India) Pvt.Ltd, 2nd edition, Universities Press, Pvt. Ltd.
- Data structures and Algorithm Analysis in C++, Mark Allen Weiss, Pearson Education. Ltd., Second Edition.
- Data structures and Algorithms in C++, Michael T.Goodrich, R.Tamassia and .Mount, Wiley student edition, John Wiley and Sons.
- Problem-solving with C++, The OOP, Fourth edition, W.Savitch, Pearson education.
- Data structures and algorithms in C++, 3rd Edition, Adam Drozdek, Thomson
- A Data structures using C and C++, Langsam, Augenstein and Tanenbaum, PHI.
Data Structures using c++ Syllabus -1st semester
UNIT-I: ARRAYS
Abstract Data Types and the C++ Class, An Introduction to C++ Class- Data Abstraction and Encapsulation in C++- Declaring Class Objects and Invoking Member Functions- Special Class Operations- Miscellaneous Topics- ADTs and C++Classes, The Array as an Abstract Data Type, The Polynomial Abstract Data type- Polynomial Representation- Polynomial Addition. Spares Matrices,Introduction- Sparse Matrix Representation- Transposing a Matrix- Matrix Multiplication, Representation of Arrays.
UNIT-II: STACKS AND QUEUES
Templates in C++, Template Functions- Using Templates to Represent Container Classes, The Stack Abstract Data Type, The Queue Abstract Data Type, Subtyping and Inheritance in C++,
Evaluation of Expressions, Expression- Postfix Notation- Infix to Postfix.
UNIT-III: LINKED LISTS
Single Linked List and Chains, Representing Chains in C++, Defining a Node in C++- Designing a Chain Class in C++- Pointer manipulation in C++- Chain Manipulation Operations, The Template Class Chain, Implementing Chains with Templates- Chain Iterators- Chain Operations- Reusing a Class, Circular Lists, Available Space Lists, Linked Stacks and Queues, Polynomials, Polynomial Representation- Adding Polynomials- Circular List Representation of Polynomials, Equivalence Classes, Sparse Matrices, Sparse Matrix Representation- Sparse Matrix Input Deleting a Sparse Matrix, Doubly Linked Lists, Generalized Lists, Representation of Generalized Lists- Recursive Algorithms for Lists- Reference Counts, Shared and Recursive Lists
UNIT-IV: TREES
Introduction, Terminology, Representation of Trees, Binary Trees, The Abstract Data Type, Properties of Binary Tress, Binary Tree Representations, Binary Tree Traversal and Tree Iterators, Introduction, Inorder Traversal Preorder Traversal, Postorder Traversal, Thread Binary Trees, Threads, Inorder Traversal of a Threaded Binary Tree, Inserting a Node into a Threaded Binary Tree, Heaps, Priority Queues, Definition of a Max Heap, Insertion into a Max Heap, Deletion from a Max Heap, Binary Search Trees, Definition, Searching a Binary Search Tree, Insertion into a Binary Search Tree, Deletion from a Binary Search Tree, Height of Binary
Search Tree.
UNIT-V: GRAPHS
The Graph Abstract Data Type, Introduction, Definition, Graph Representation, Elementary Graph Operation, Depth First Search, Breadth First Search, Connected Components, Spanning
Trees, Biconnected Components, Minimum Cost Spanning Trees, Kruskal S Algorithm, Prim s Algorithm Sollin’ s Algorithm, Shortest Paths and Transitive Closure, Single Source/All Destination: Nonnegative Edge Cost, Single Source/All Destination: General Weights, All-Pairs Shortest Path, Transitive Closure.
UNIT-VI: SORTING
Insertion Sort, Quick Sort, Merge Sort Merging, Iterative Merge Sort, Recursive Merge Sort, Heap Sort.
OUTCOMES:
• Distinguish between procedures and object-oriented programming.
• Apply advanced data structure strategies for exploring complex data structures.
• Compare and contrast various data structures and design techniques in the area of Performance.
• Implement data structure algorithms through C++. • Incorporate data structures into the applications such as binary search trees, AVL and B Trees
• Implement all data structures like stacks, queues, trees, lists and graphs and compare their Performance and trade offs
Data Structures using c++ Review Questions List
- Explain Oops Concepts?
- Discuss representation of polynomial using Abstract Data Type?
- Write a C++ Program to pop an element from the stack?
- Explain different types of inheritances available in C++?
- Write a C++ Program to insert an element at last position into a single linked list?
- Explain about equivalence class?
- If number of elements in a binary search tree is N. Give two sample binary search tree where the search time is proportional to i) Log N ii) N
- Explain with examples different cases of deletion of elements in a binary search tree?
- Write an algorithm to traverse a graph using breadth first search?
- Discuss about different ways of representing Graphs in memory?
- Write a C++ program to sort the following elements using Recursive Merge Sort?
- Trace the above program for the following elements?
12, 25, 5, 9, 1, 84, 63, 7, 15, 4, 3 - With an example Explain the procedure of transposing a Sparse matrix?
- Discuss about Array as an Abstract Data Type?
- Write a Program to push an element into a stack?
- Implement container classes using templates?
- Discuss about implementing Chains with templates?
- Discuss about implementation of queues using linked list?
- Create max heap for the following elements(20, 12, 14, 3, 52, 15, 139, 27, 190)
- What are Tree iterators? Explain
- Write an algorithm to traverse a graph using Depth first search?
- Explain about All pairs shortest path algorithm?
- Write a C++ program to sort the following elements using Insertion Sort?
- Trace the above program for the following elements?
65, 6, 54, 63, 56, 61, 14, 39, 28, 16, 30.
Buy Data Structures using C++ Books for 2nd year Online at Amazon.in
Data Structures Using C++- Ajit J More
- Techtree Educations
- Paperback
- Edition no. First Edition (01/01/1970)
- English
- Deepak Gupta
- S.K. Kataria & Sons
- Edition no. 2012 (01/01/1970)
- Paperback: 325 pages
- N. Kashivishwanath
- Laxmi Publications
- Edition no. First (01/01/1970)
- Paperback: 220 pages
- M. Jayalakshmi
- Laxmi Publications
- Edition no. First (01/01/1970)
- Paperback: 126 pages
- K.S. Easwarakumar
- Vikas Publication House Pvt Ltd
- Edition no. First (12/11/2000)
- Paperback: 348 pages
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- Binding : paperback
- Language : English
- Publication Date : 2012-12-13
- Authors : A. M. Padma Reddy
- D.S. Malik
- A A Puntambekar
- Technical Publications
- Edition no. 1 (01/01/2014)
- Paperback: 552 pages
- This book has been prescribed and recommended as a textbook in the latest AICTE Model Curriculum of Engineering & Technology 2018-19.
- R. S. Salaria
- Khanna Publishing
- Edition no. Third (01/01/1970)
- Paperback: 616 pages
- Oxford University Press, USA
- Varsha H. Patil
- Oxford
- Paperback: 704 pages
- Langsam / Augenstein / Tenenbaum
- Pearson Education India
- Edition no. 2 (01/01/1970)
- 3.5' and 5.25' disks: 688 pages
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What are trees?
- Tree is a hierarchical data structure which stores the information naturally in the form of hierarchy style.
- Tree is one of the most powerful and advanced data structures.
- It is a non-linear data structure compared to arrays, linked lists, stack and queue.
- It represents the nodes connected by edges.
The above figure represents structure of a tree. Tree has 2 subtrees.
A is a parent of B and C.
B is called a child of A and also parent of D, E, F.
Tree is a collection of elements called Nodes, where each node can have arbitrary number of children.
Field | Description |
---|---|
Root | Root is a special node in a tree. The entire tree is referenced through it. It does not have a parent. |
Parent Node | Parent node is an immediate predecessor of a node. |
Child Node | All immediate successors of a node are its children. |
Siblings | Nodes with the same parent are called Siblings. |
Path | Path is a number of successive edges from source node to destination node. |
Height of Node | Height of a node represents the number of edges on the longest path between that node and a leaf. |
Height of Tree | Height of tree represents the height of its root node. |
Depth of Node | Depth of a node represents the number of edges from the tree's root node to the node. |
Degree of Node | Degree of a node represents a number of children of a node. |
Edge | Edge is a connection between one node to another. It is a line between two nodes or a node and a leaf. |
In the above figure, D, F, H, G are leaves. B and C are siblings. Each node excluding a root is connected by a direct edge from exactly one other node
parent → children.
Levels of a node
Levels of a node represents the number of connections between the node and the root. It represents generation of a node. If the root node is at level 0, its next node is at level 1, its grand child is at level 2 and so on. Levels of a node can be shown as follows:Note:
- If node has no children, it is called Leaves or External Nodes.
- Nodes which are not leaves, are called Internal Nodes. Internal nodes have at least one child.
- A tree can be empty with no nodes or a tree consists of one node called the Root.
Height of a Node
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As we studied, height of a node is a number of edges on the longest path between that node and a leaf. Each node has height.In the above figure, A, B, C, D can have height. Leaf cannot have height as there will be no path starting from a leaf. Node A's height is the number of edges of the path to K not to D. And its height is 3.
Note:
- Height of a node defines the longest path from the node to a leaf.
- Path can only be downward.
Depth of a Node
While talking about the height, it locates a node at bottom where for depth, it is located at top which is root level and therefore we call it depth of a node.
In the above figure, Node G's depth is 2. In depth of a node, we just count how many edges between the targeting node & the root and ignoring the directions.
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Depth of the root is 0.Data Structures Tutorial Pdf
Advantages of Tree
- Tree reflects structural relationships in the data.
- It is used to represent hierarchies.
- It provides an efficient insertion and searching operations.
- Trees are flexible. It allows to move subtrees around with minimum effort.