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DATA STRUCTURE
Dr.P.Kalaiyarasi
DATA STRUCTURE
B.SC. II (SEM – III)
Dr.P.Kalaiyarasi
Syllabus
Unit 1
Data Structure: introduction to data structure, types of data
structure: primitive and non primitive, linear and non linear DS, Data
structure operations.
Linear Arrays: Definition and concepts, representation, operations
on arrays: traversing, inserting, operations.
Stacks: Definition and concepts, representations, operations on
stack: Push and Pop.
Introduction to Data Structure
Computer is an electronic machine which is used for data processing and
manipulation.
When programmer collects such type of data for processing, he would require
to store all of them in computers main memory.
In order to make how computer work we need to know
Representation of data in computer.
Accessing of data.
How to solve problem step by step.
For doing all of this task we used Data Structure
What is Data
Structure
 A data structure is a
specialized format for
organizing, processing,
retrieving and storing
data.
 In computer
programming, a data
structure may be selected
or designed to store data
for the purpose of working
on it with various
algorithms.
Data Structure can be defined as the group of data elements which provides an
efficient way of storing and organizing data in the computer so that it can be used
efficiently.
examples of Data Structures are arrays, Linked List, Stack, Queue, etc.
Data Structures are widely used in almost every aspect of Computer Science i.e.
Operating System, Compiler Design, Artificial intelligence, Graphics and many
more.
Data Structures are the main part of many computer science algorithms as they
enable the programmers to handle the data in an efficient way.
It plays a vital role in enhancing the performance of a software or a program as the
main function of the software is to store and retrieve the user’s data as fast as
possible
What is Data Structure
Data Structure
◦ A data structure is a particular way of organizing data in a computer so that it can be used effectively.
◦ For example, we can store a list of items having the same data-type using the array data structure.
The representation of particular data structure in the main memory of a computer is called as
storage structure.
The storage structure representation in auxiliary memory is called as file structure.
It is define as the way of storing and manipulating data in organized form so that it can be used
efficiently
Data Structure mainly specifies the following four things:
1)organization of data 2)accessing method 3)degree of associativity 4) processing alternative
for information
Algorithm + Data Structure = Program
Data Structure study Covers the following points
1) Amount of memory require to store
2) Amount of time require to process
3) Representation of data in memory
4) Operations performs on data
Types Of DS
The DS are divided into
two types:
1) Primitive
2) Non primitive
Non primitive divided into
two type
3) Linear DS
4) Non linear DS
DATA TYPES
A particular kind of data item, as defined by the values it can take, the
Programming language used, or the operations that can be performed on it.
◦ Primitive Data Structure
◦ Primitive Data Structure are basic structure and directly operated upon by machine instructions.
◦ Primitive data structures have different representations on different computers.
◦ Integers, floats, character and pointers are example of primitive data structures.
◦ These data types are available in most programming languages as built in type.
Integer: It is a data type which allows all values without fraction part. We can used it for whole
numbers.
Float: It is a data type which is use for storing fraction numbers.
Character: It is a data type which is used for character values.
Pointer: A variable that hold memory address of another variable are called pointer.
Non Primitive Data Type
◦ These are more sophisticated data structures.
◦ These are derived from primitive data structure.
◦ The non – primitive data structures emphasize structuring of a group of homogeneous or
heterogeneous data items.
◦ Example of non – primitive data types are Array, List, and File etc.
◦ A non – primitive data type is further divided into Linear and non – Linear data structure.
Array: An array is a fixed size sequenced collection of elements of the same data type.
List: An ordered set containing variable number of elements is called as List.
File: A file is a collection of logically related information. It can be viewed as a large list of
records consisting of various fields.
Linear Data Structures
 A linear data structure simply means that it is a storage format of
the data in the memory in which the data are arranged in
contiguous blocks of memory.
 Example is the array of characters it represented by one
character after another.
 In the linear data structure, member elements form a sequence in
the storage.
 There are two ways to represent a linear data structure in
memory.
static memory allocation
dynamic memory allocation
The possible operations on the linear data structure are:
1) Traversing 2) Insertion 3) Deletion 4) searching 5) sorting
6) merging
◦ Example of Linear data structure are Stack and
Queue
Stack
◦ Stack is a data structure in which insertion and
deletion operations are performed at one end
only.
◦ The insertion operation is referred to as ‘PUSH’ and
deletion is referred as ‘POP’ operation
◦ Stack is also called as Last In First Out (LIFO) data
structure.
Queue
◦ The data structure which permits the insertion at
one and deletion at another end, known as
Queue.
◦ End at which deletion is occurs is known as FRONT
end and another end at which insertion occurs is
known as REAR end.
◦ Queue is also called as First In First Out (FIFO)
◦ Non linear DS are those data structure in which data items are not
arranged in a sequence.
◦ Example on Non Linear DS are Tree and Graph.
TREE
◦ A Tree can be define as finite data items (nodes) in which data
items are arranged in branches and sub branches
◦ Tree represent the hierarchical relationship between various
elements
◦ Tree consist of nodes connected by edge, the represented by
circle and edge lives connecting to circle.
Graph
◦ Graph is collection of nodes (information) and connecting edges
(Logical relation) between nodes.
◦ A tree can be viewed as restricted graph
◦ Graph have many types: 1) Simple graph 2) Mixed graph 3) Multi
graph 4) Directed graph 5) Un-directed graph
Non-Linear Data Structure
Components of Graph
Difference Between Linear and Non Linear Data Structure
Linear Data Structure
◦ Every item is related to its previous and
next item.
◦ Data is arranged in linear sequence.
◦ Data items can be traversed in a single run
◦ E.g. Array, Stacks, Linked list, Queue
◦ Implementation is easy.
Non – Linear Data Structure
◦ Every item is attached with many other
items.
◦ Data is not arranged in sequence.
◦ Data cannot be traversed in a single run.
◦ E.g. Tree, Graph
◦ Implementation is difficult.
Operation on Data Structures
Design of efficient data structure must take operations to be performed on the DS into account.
The most commonly used operations on DS are broadly categorized into following types
1. Create: This operation results in reserving memory for program elements. This can be done by
declaration statement Creation of DS may take place either during compile-time or run-time.
2. Destroy: This operation destroy memory space allocated for specified data structure .
3. Selection: This operation deals with accessing a particular data within a data structure.
4. Updation: It updates or modifies the data in the data structure.
5. Searching: It finds the presence of desired data item in the list of data items, it may also find
locations of all elements that satisfy certain conditions.
6. Sorting: This is a process of arranging all data items in a DS in particular order, for example either
ascending order or in descending order.
7. Splitting: It is a process of partitioning single list to multiple list.
8. Merging: It is a process of combining data items of two different sorted list into single sorted list.
9. Traversing: It is a process of visiting each and every node of a list in systematic manner.
What are Arrays?
Array is a container which can hold
a fix number of items and these
items should be of the same type.
Most of the data structures make
use of arrays to implement their
algorithms.
•Following are the important terms
to understand the concept of Array.
Element − Each item stored in
an array is called an element.
Index − Each location of an
element in an array has a
numerical index, which is used to
identify the element.
1. An array is a container of elements.
2. Elements have a specific value and data type, like "ABC", TRUE or
FALSE, etc.
3. Each element also has its own index, which is used to access the
element.
• Elements are stored at
contiguous memory
locations.
• An index is always less than
the total number of array
items.
• In terms of syntax, any
variable that is declared as
an array can store multiple
values.
• Almost all languages have
the same comprehension of
arrays but have different
ways of declaring and
initializing them.
• However, three parts will
always remain common in all
the initializations, i.e., array
name, elements, and the
data type of elements.
•Array name: necessary for easy reference to the collection of
elements
•Data Type: necessary for type checking and data integrity
•Elements: these are the data values present in an array
How to access
a specific
array value?
You can access any array item
by using its index
Syntax
arrayName[indexNum]
Example
balance[1]
Here, we have accessed the second value of the array using its index,
which is 1. The output of this will be 200, which is basically the second
value of the balance array.
◦ Array Representation
◦ Arrays can be declared in various ways in different languages. For illustration, let's take C array declaration.

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ntroduction of Algorithms, Analysing Algorithms. Arrays: Sparse Matrices - Representation of Arrays. Stacks and Queues. Fundamentals - Evaluation of Expression Infix to Postfix Conversion

  • 2. DATA STRUCTURE B.SC. II (SEM – III) Dr.P.Kalaiyarasi
  • 3. Syllabus Unit 1 Data Structure: introduction to data structure, types of data structure: primitive and non primitive, linear and non linear DS, Data structure operations. Linear Arrays: Definition and concepts, representation, operations on arrays: traversing, inserting, operations. Stacks: Definition and concepts, representations, operations on stack: Push and Pop.
  • 4. Introduction to Data Structure Computer is an electronic machine which is used for data processing and manipulation. When programmer collects such type of data for processing, he would require to store all of them in computers main memory. In order to make how computer work we need to know Representation of data in computer. Accessing of data. How to solve problem step by step. For doing all of this task we used Data Structure
  • 5. What is Data Structure  A data structure is a specialized format for organizing, processing, retrieving and storing data.  In computer programming, a data structure may be selected or designed to store data for the purpose of working on it with various algorithms.
  • 6. Data Structure can be defined as the group of data elements which provides an efficient way of storing and organizing data in the computer so that it can be used efficiently. examples of Data Structures are arrays, Linked List, Stack, Queue, etc. Data Structures are widely used in almost every aspect of Computer Science i.e. Operating System, Compiler Design, Artificial intelligence, Graphics and many more. Data Structures are the main part of many computer science algorithms as they enable the programmers to handle the data in an efficient way. It plays a vital role in enhancing the performance of a software or a program as the main function of the software is to store and retrieve the user’s data as fast as possible What is Data Structure
  • 7. Data Structure ◦ A data structure is a particular way of organizing data in a computer so that it can be used effectively. ◦ For example, we can store a list of items having the same data-type using the array data structure.
  • 8. The representation of particular data structure in the main memory of a computer is called as storage structure. The storage structure representation in auxiliary memory is called as file structure. It is define as the way of storing and manipulating data in organized form so that it can be used efficiently Data Structure mainly specifies the following four things: 1)organization of data 2)accessing method 3)degree of associativity 4) processing alternative for information Algorithm + Data Structure = Program Data Structure study Covers the following points 1) Amount of memory require to store 2) Amount of time require to process 3) Representation of data in memory 4) Operations performs on data
  • 9. Types Of DS The DS are divided into two types: 1) Primitive 2) Non primitive Non primitive divided into two type 3) Linear DS 4) Non linear DS
  • 10. DATA TYPES A particular kind of data item, as defined by the values it can take, the Programming language used, or the operations that can be performed on it. ◦ Primitive Data Structure ◦ Primitive Data Structure are basic structure and directly operated upon by machine instructions. ◦ Primitive data structures have different representations on different computers. ◦ Integers, floats, character and pointers are example of primitive data structures. ◦ These data types are available in most programming languages as built in type. Integer: It is a data type which allows all values without fraction part. We can used it for whole numbers. Float: It is a data type which is use for storing fraction numbers. Character: It is a data type which is used for character values. Pointer: A variable that hold memory address of another variable are called pointer.
  • 11. Non Primitive Data Type ◦ These are more sophisticated data structures. ◦ These are derived from primitive data structure. ◦ The non – primitive data structures emphasize structuring of a group of homogeneous or heterogeneous data items. ◦ Example of non – primitive data types are Array, List, and File etc. ◦ A non – primitive data type is further divided into Linear and non – Linear data structure. Array: An array is a fixed size sequenced collection of elements of the same data type. List: An ordered set containing variable number of elements is called as List. File: A file is a collection of logically related information. It can be viewed as a large list of records consisting of various fields.
  • 12. Linear Data Structures  A linear data structure simply means that it is a storage format of the data in the memory in which the data are arranged in contiguous blocks of memory.  Example is the array of characters it represented by one character after another.  In the linear data structure, member elements form a sequence in the storage.  There are two ways to represent a linear data structure in memory. static memory allocation dynamic memory allocation The possible operations on the linear data structure are: 1) Traversing 2) Insertion 3) Deletion 4) searching 5) sorting 6) merging
  • 13. ◦ Example of Linear data structure are Stack and Queue Stack ◦ Stack is a data structure in which insertion and deletion operations are performed at one end only. ◦ The insertion operation is referred to as ‘PUSH’ and deletion is referred as ‘POP’ operation ◦ Stack is also called as Last In First Out (LIFO) data structure. Queue ◦ The data structure which permits the insertion at one and deletion at another end, known as Queue. ◦ End at which deletion is occurs is known as FRONT end and another end at which insertion occurs is known as REAR end. ◦ Queue is also called as First In First Out (FIFO)
  • 14. ◦ Non linear DS are those data structure in which data items are not arranged in a sequence. ◦ Example on Non Linear DS are Tree and Graph. TREE ◦ A Tree can be define as finite data items (nodes) in which data items are arranged in branches and sub branches ◦ Tree represent the hierarchical relationship between various elements ◦ Tree consist of nodes connected by edge, the represented by circle and edge lives connecting to circle. Graph ◦ Graph is collection of nodes (information) and connecting edges (Logical relation) between nodes. ◦ A tree can be viewed as restricted graph ◦ Graph have many types: 1) Simple graph 2) Mixed graph 3) Multi graph 4) Directed graph 5) Un-directed graph Non-Linear Data Structure Components of Graph
  • 15. Difference Between Linear and Non Linear Data Structure Linear Data Structure ◦ Every item is related to its previous and next item. ◦ Data is arranged in linear sequence. ◦ Data items can be traversed in a single run ◦ E.g. Array, Stacks, Linked list, Queue ◦ Implementation is easy. Non – Linear Data Structure ◦ Every item is attached with many other items. ◦ Data is not arranged in sequence. ◦ Data cannot be traversed in a single run. ◦ E.g. Tree, Graph ◦ Implementation is difficult.
  • 16. Operation on Data Structures Design of efficient data structure must take operations to be performed on the DS into account. The most commonly used operations on DS are broadly categorized into following types 1. Create: This operation results in reserving memory for program elements. This can be done by declaration statement Creation of DS may take place either during compile-time or run-time. 2. Destroy: This operation destroy memory space allocated for specified data structure . 3. Selection: This operation deals with accessing a particular data within a data structure. 4. Updation: It updates or modifies the data in the data structure. 5. Searching: It finds the presence of desired data item in the list of data items, it may also find locations of all elements that satisfy certain conditions. 6. Sorting: This is a process of arranging all data items in a DS in particular order, for example either ascending order or in descending order. 7. Splitting: It is a process of partitioning single list to multiple list. 8. Merging: It is a process of combining data items of two different sorted list into single sorted list. 9. Traversing: It is a process of visiting each and every node of a list in systematic manner.
  • 17. What are Arrays? Array is a container which can hold a fix number of items and these items should be of the same type. Most of the data structures make use of arrays to implement their algorithms. •Following are the important terms to understand the concept of Array. Element − Each item stored in an array is called an element. Index − Each location of an element in an array has a numerical index, which is used to identify the element. 1. An array is a container of elements. 2. Elements have a specific value and data type, like "ABC", TRUE or FALSE, etc. 3. Each element also has its own index, which is used to access the element.
  • 18. • Elements are stored at contiguous memory locations. • An index is always less than the total number of array items. • In terms of syntax, any variable that is declared as an array can store multiple values. • Almost all languages have the same comprehension of arrays but have different ways of declaring and initializing them. • However, three parts will always remain common in all the initializations, i.e., array name, elements, and the data type of elements. •Array name: necessary for easy reference to the collection of elements •Data Type: necessary for type checking and data integrity •Elements: these are the data values present in an array
  • 19. How to access a specific array value? You can access any array item by using its index Syntax arrayName[indexNum] Example balance[1] Here, we have accessed the second value of the array using its index, which is 1. The output of this will be 200, which is basically the second value of the balance array.
  • 20. ◦ Array Representation ◦ Arrays can be declared in various ways in different languages. For illustration, let's take C array declaration.